# Introduction to Twelve Basic Functions

### Topic Page

Introduction to Twelve Basic Functions### Questions

- What are the twelve basic functions?
- What is the greatest integer function?
- What is the absolute value function?
- What is the graph of the greatest integer function?
- What is the graph of the absolute value function?
- What is the inverse function?
- What is the graph of the inverse function?
- Which of the twelve basic functions are bounded above?
- Which of the twelve basic functions are their own inverses?
- How do you use transformations of #f(x)=x^3# to graph the function #h(x)= 1/5 (x+1)^3+2#?
- How do you find the inverse function #y=x#?
- How do you find the inverse function of #f(x)=x^3+5#?
- What is the inverse function of #f(x)=x^2#?
- What is the inverse function of #x^3#?
- What is the inverse function of #f(x) = 2x-4#?
- How do you find the inverse of #f(x)=In(3-2x)+3#?
- How do you find the inverse of #F(x) = (7/x) - 3 #?
- How do you find the inverse function of #f(x)=x/(x+1)#?
- How do you find the inverse of #f(x)=x^2-6x#?
- How do you find the inverse of #f(x)= (2x+1)/(x-3)#?
- How do you find the inverse of #f(x)= -sqrt(2x+1)#?
- How do you find the inverse of #f(x) =2x-5#?
- How do you find the inverse of #f(x) =x^3-2#?
- How do you find the inverse of #f(x) =1/x#?
- How do you find the inverse of #f(x) =1/4x+7#?
- How do you find the inverse of #f(x) =10^x#?
- What is the inverse of the function #f(x)=(2x+1)/x#?
- What is the inverse function of #y=x^2+2x-1#?
- How do you find the inverse of #f(x)=3+sqrt(x-8)#?
- What is the inverse function of #f(x)=2x+3#?
- How do you find the inverse function of #f(x) = (2x-3)/(x+4)#?
- How do you find the inverse of #f(x) = x^5+x#?
- Given #f(x) = (2x)/(x+3)#, how do you find #f^(-1) (4)#?
- How do you find the inverse of the function: #f(x)= 6+ sqrt(x+7)#?
- How do you find the inverse function of #y=2-x#?
- What is the inverse of the function: #f(x) = 3x + 2#?
- How would you solve the inverse of the function #f(x)= absx + 1#?
- How do you find the inverse of #10=y-2x^2#?
- How do you find the inverse of #y=3x^2-5#?
- How do you find the inverse of #f(x)=(x+1)^2#?
- What's the inverse function of #y= -3#?
- Is the inverse of a function #(x + 2)^2 - 4# a function?
- What is the inverse function of #(3x - 8)/( x - 3)#?
- What is the inverse function of #y=2x-1#?
- What is the inverse function of #10=y-2x^2#?
- What is the inverse function of #y=3x^2-5#?
- What is the inverse function of #y=(3x-4)^2#?
- What is the inverse function of #f(x)=(x+1)^2#?
- What is the inverse function of #y = 3 / (x-2) -1#?
- What is the inverse function of #F(x) = (7/x) - 3 #?
- What is the inverse function of #g(x)= (x + 2) / (x - 3)#?
- What is the inverse function of #h(x)= sqrt(x + 5)#?
- What is the inverse function of #y = (x+1) / x#?
- What is the inverse function of #y = (6x-1) / (5x-6)#?
- What is the inverse function of #f(x) = x^5+x#?
- What is the inverse function of #f(x) = -5x + 1#?
- What is the inverse function of #f(x) = 3 - 1/2x#?
- What is the inverse function of #f(x) = 4x + 2#?
- What is the inverse function of #f(x)=3x^4#?
- What is the inverse function of #h(x)= 3-(x+4)/(x-7)#?
- What is the inverse function of #h(x)= 3-(x+4)/(x-7)# and how do you evaluate #h^-1(9)#?
- What is the inverse function of #f(x)=x+1# and how do you find #f^-1(2)#?
- What is the inverse function of #f(x)=x-2# and how do you find #f^-1(0)#?
- What is the inverse function of #f(x)= (3x-2)/(x+7)?
- What is the inverse function of #f(x) = (2x)/(x+3)#?
- What is the inverse function of #g(x) = x^2#?
- What is the inverse function of # y=3x-4#?
- What is the inverse function of #f(x)=1/7x-9#?
- What is the inverse function of #g(x)=3sqrt(x-8)#?
- What is the inverse function of #y=5^x+1#?
- What is the inverse function of # f(x)=3+sqrt(x-8)#?
- What is the inverse function of #f(x) = x^2 + 9# and what is the domain and range?
- What is the inverse function of #f(x) = 4/(x + 2)# and what is the domain and range?
- What is the inverse function of #f(x) = 2x + x^(1/2)#?
- What is the inverse function of #f(x)= absx + 1#?
- What is the inverse function of #f(x) = x^3 + 5#?
- What is the inverse function of #f(x) = (2x-1)/(x-1)#?
- What is the inverse function of #f(x)=x/(x+1)#?
- What is the inverse function of #y= -3 #?
- What is the inverse function of # f(x) =2x-5#?
- What is the inverse function of #f(x) =x^3-2#?
- What is the inverse function of #f(x) =1/x#?
- What is the inverse function of #f(x) =1/4x+7#?
- What is the inverse function of #f(x) =10^x#?
- What is the inverse function of #f(x) =5x^3 + 4x^2 + 3x + 4#?
- What is the inverse function of #f(x)=(2x+5)/(5x-3)#?
- What is the inverse function of #f(x)=11-3x^2#?
- What is the inverse function of #f(x)=2x^2+3#?
- What is the inverse function of #f(x)=sqrt(8-x)#?
- How do you find the inverse of #y=sinx#?
- How do you find the inverse of # f(x)= x^2-7#?
- What is the inverse function of #y=2-x#?
- What is the importance of inverse functions?
- What is the inverse of #f(x) = (x+1)/(2x+1)#?
- What is the inverse of #f(x) = (4x-1)/(2x+3#?
- What is the inverse of the #sqrt(x+3)#?
- How do you find the inverse of #f(x)=(2-3x)/4#?
- How do you find the inverse of #f(x)=x/(x+1)#?
- How do you find the inverse of #f(x)=(2x+7)/(3x-1)#?
- How do you find the inverse of #f(x) = (x - 2) /( x + 2)#?
- How do you find the inverse of #y = 1 + log_10 (x + 2) #?
- How do you find the inverse of #f(x) = 5x + 2#?
- How do you find the inverse of #g(x) = 2(7)^x#?
- How do you find the inverse of #f(x)=12+ln(x)#?
- How do you find the inverse of #f(x) = x^3 + 4#?
- How do you find the inverse of #f(x) = x^3 + 5#?
- How do you find the inverse of #f(x) =( -2x)/(-7-x)#?
- How do you find the inverse of #f(x)=ln(9x+7)#?
- How do you find the inverse of #g(x) = -2x − 7#?
- How do you find the inverse of #2x + 3y = 6#?
- How do you find the inverse of #F(x)= e^x+x^2+1#?
- How do you find the inverse of #f(x)=32x^5#?
- How do you find the inverse of #h(x)=(5x+1)/4#?
- How do you find the inverse of #f(x)=x^2 - 1#?
- How do you find the inverse of #f(x)=(3x-2)/(x+7)#?
- How do you find the inverse of #f(x)=x^2-6x#?
- How do you find the inverse of #f(x) = 2x+1#?
- How do you find the inverse of # f(x)=3x^2+5x-2#?
- How do you find the inverse of # f(x)=e^(2x-1)#?
- How do you find the inverse of # y=2x-1#?
- How do you find the inverse of #f(x) = 1-x^3#?
- How do you find the inverse of #y=3x-4#?
- How do you find the inverse of #f(x)=1/(7x-9)#?
- How do you find the inverse of #y=5^x+1#?
- How do you find the inverse of #F(x)=4x-4#?
- How do you find the inverse of #F(x)=4x^3 - 18x^2 + 27x#?
- How do you find the inverse of #f(x) = 6x - 4#?
- How do you find the inverse of #f(x) = (2x-1)/(x-1)#?
- How do you find the inverse of #f(x) =5/(x+1)#?
- How do you find the inverse of #f(x) =(4-x)/(3x)#?
- How do you find the inverse of #f(x) =x/(x-1)#?
- How do you find the inverse of #f(x) = 6x^3 - 3#?
- How do you find the inverse of #f(x)=5 x-2#?
- How do you find the inverse of #f(x)=3x-5#?
- How do you find the inverse of #g(x)=x-2#?
- How do you find the inverse of #g(x)=5x-2#?
- How do you find the inverse of #(1+3x)/(1-2x)#?
- How do you find the inverse of #y= -2x -4#?
- How do you find the inverse of #f(x) = 12/sqrtx#?
- How do you find the inverse of #f(x) = x / (x + 8) #?
- How do you find the inverse of #f(x) = 4(x + 5)^2 - 6#?
- How do you find the inverse of # y = 6x – 3#?
- How do you find the inverse of #g(x) = y = (x-6)^5#?
- How do you find the inverse of #f(x)=x/(x+3)#?
- How do you find the inverse of #y=(x-1)^2#?
- How do you write the absolute value function that is equivalent to #f(x)= -x-2 if x<-2# and #x-2 if x ≥-2#?
- What is the x-intercept for the piecewise function #f(x) = x^2-4 , x≥2# and #x-2, x<2#?
- What is the domain of the piecewise function #absx + 1, x < 1# and #-x + 1, x ≥ 1#?
- How do you write #f(x) = 3 - |2x + 3|# as a piecewise function?
- How do you know if #f(x) = x^3 + x sin^2 x# is an even or odd function?
- How do you know if #x*sin x# is an even or odd function?
- How do you know if #csc x# is an even or odd function?
- How do you know if # cosx sinx# is an even or odd function?
- How do you know if #y= x+x^2# is an even or odd function?
- How do you know if #f(x)=x^4+3x^-4+2x^-1# is an even or odd function?
- How do you know if #f(x)=x^4-6^-4+3x^2# is an even or odd function?
- How do you know if #f(x) = 4x^2 + x^4 -120# is an even or odd function?
- How do you know if #y=sin^2(x)# is an even or odd function?
- How do you know if #f(x)= sqrt ( x^2 -3)# is an even or odd function?
- How do you know if #v(x) = 2 sin x cos x# is an even or odd function?
- How do you know if #S(x)=sin x/ x# is an even or odd function?
- How do you know if #y=tan(x)# is an even or odd function?
- How do you know if #f(x)= 2x# is an even or odd function?
- How do you know if # f(x)=x^3+1# is an even or odd function?
- How do you know if #f(x)=e^(x^2-1)# is an even or odd function?
- How do you know if #f(x) = 13x^4 – 2x^3 + 7x# is an even or odd function?
- How do you know if #f(x) = 5x^6 + 8x^2 – 16# is an even or odd function?
- How do you know if #f(x) =-x^3 + 6x# is an even or odd function?
- How do you know if # f(x)=x^2+sin x# is an even or odd function?
- How do you know if #f(s) = 4s^(3/2)# is an even or odd function?
- How do you know if #y = 1/x# is an even or odd function?
- How do you know if #f(x) = (x^2+8)^2# is an even or odd function?
- How do you know if #f(x) = -2(x - 3) (x + 2) (4x - 3)# is an even or odd function?
- How do you know if #g(x) = (x - 1) (x + 3) (1 + x) (3x - 9)# is an even or odd function?
- How do you know if #h(x) = - (x + 4)^2 (x - 1)^2 (x + 2) (2x - 3)# is an even or odd function?
- How do you know if #f(x)=1/(x^3+1)# is an even or odd function?
- How do you know if #f(x)=2x^4+3x^2# is an even or odd function?
- How do you know if #G(x) = sqrtx# is an even or odd function?
- How do you know if #F(x) = (2x) / absx# is an even or odd function?
- How do you know if #h(x) = x / (x^2 - 1)# is an even or odd function?
- How do you know if #x^4 cos(4x) # is an even or odd function?
- How do you know if #g(x)= sin x + cos x# is an even or odd function?
- How do you know if #f(x)= 6x^3 - 2x# is an even or odd function?
- How do you know if #f(x)= -4x^2 + 4x# is an even or odd function?
- How do you determine whether # (2-x)^(1/3)# is an odd or even function?
- How do you determine whether # f(x) = (x^2+8)^2# is an odd or even function?
- How do you determine whether # f(x) =(-x+5)# is an odd or even function?
- How do you determine whether # f(x) = (-x+1)(x+2)(x-3)^2# is an odd or even function?
- How do you determine whether # f(x) = absx# is an odd or even function?
- How do you determine whether #f(x)=(2x^5)-(2x^3)# is an odd or even function?
- How do you determine whether #f(x) = 2^x + 2^-x# is an odd or even function?
- How do you determine whether #f(t)= t^2 + 2t + -3# is an odd or even function?
- How do you determine if #x sin x# is an even or odd function?
- How do you determine if #x^3-5# is an even or odd function?
- How do you determine if #sin^2(x) # is an even or odd function?
- How do you determine if #x^3-x^2-x+1# is an even or odd function?
- How do you determine if #4x^2 - 4# is an even or odd function?
- How do you determine if #F(x) = x^2-1# is an even or odd function?
- How do you determine if #f(x) = 1/x# is an even or odd function?
- How do you determine if #f(x)=7# is an even or odd function?
- How do you determine if #f(x)=-sinx# is an even or odd function?
- How do you determine if #f(x)= - 4 sin x # is an even or odd function?
- How do you determine if #f(x) - 2 cos x# is an even or odd function?
- How do you determine if #F(x)=x^3-x # is an even or odd function?
- How do you determine if #x/(x^2 -1)# is an even or odd function?
- How do you determine if #f(x) = x^3 - x^5# is an even or odd function?
- How do you determine if #f(x) = x - absx# is an even or odd function?
- How do you determine if #f(x) = root3(7x^3 - 3x)# is an even or odd function?
- How do you determine if #f(x) = sqrt(4x^5 + 7x^3)# is an even or odd function?
- How do you determine if #f(x) = sqrtx# is an even or odd function?
- How do you determine if # f(x) = x^3 + x sin^2 x# is an even or odd function?
- How do you determine if #2sin(x)cos(x)tan^2(x)# is an even or odd function?
- How do you determine if #absx# is an even or odd function?
- How do you determine if #y=3x²+5# is an even or odd function?
- How do you determine if #xy=1# is an even or odd function?
- How do you determine if #y=x³+x-3# is an even or odd function?
- How do you determine if #f(x)=(6x )/( x^2 + 6)# is an even or odd function?
- How do you determine if #sin x/x# is an even or odd function?
- How do you determine if #2 sin x cos x# is an even or odd function?
- How do you determine if #f(x) = (x - 2)^2 + 1# is an even or odd function?
- How do you determine if #f(x) =root3x# is an even or odd function?
- How do you determine if #f(x)=x^4 - x^12 +1# is an even or odd function?
- How do you determine if #f(x)= X^11 + X^9# is an even or odd function?
- How do you determine if #f(x)=sqrt( x^2 -3)# is an even or odd function?
- How do you determine if #x-sin(x)# is an even or odd function?
- How do you determine if #f(x)=-2x^3+8x# is an even or odd function?
- How do you determine if #f(x)=(x^2 ) abs(x)# is an even or odd function?
- How do you determine if # f(x) = x((x^2)-1)# is an even or odd function?
- How do you determine if #f(x)= e^x# is an even or odd function?
- How do you determine if #f(x)= In(x)# is an even or odd function?
- How do you determine if #f(x)= sin^-1 (x)# is an even or odd function?
- How do you determine if #f (x) = (x)^2 -x# is an even or odd function?
- How do you determine if #(2x)^2 + (x)^4 + 1# is an even or odd function?
- How do you determine if #f(x) = cos^2 x + cos x - 3# is an even or odd function?
- How do you determine if #f(x) = 3x^4 - x^2 + 2# is an even or odd function?
- How do you determine if #h(x)= (2x)/(x^3 - x)# is an even or odd function?
- How do you determine if #f(t)= ( t^4 tan t ) / (2 + cos t)# is an even or odd function?
- How do you determine if #-x^3 + 6x# is an even or odd function?
- How do you determine if # f(x) = 1# is an even or odd function?
- How do you determine if #3sqrtx # is an even or odd function?
- How do you determine if #y= 1/x# is an even or odd function?
- How do you determine if #y= 3 + 2x# is an even or odd function?
- How do you determine if #y= 5^(3 + 2x)# is an even or odd function?
- How do you determine if #f(x) = 2x^5 - 3x^2 + 2 # is an even or odd function?
- How do you determine if #f(x) = x^3 - x^7# is an even or odd function?
- How do you determine if # f(x) = e^(-x^2)# is an even or odd function?
- How do you determine if #f(x)= x³-x²# is an even or odd function?
- How do you determine if #4x^5 / absx # is an even or odd function?
- How do you determine if #f(x)= 5x³ # is an even or odd function?
- How do you determine if #f(x)= (-x³)/(3x²-4)# is an even or odd function?
- How do you determine if #f(x)= (-2x³)/(7x²+8)# is an even or odd function?
- How do you determine if #f(x)=-3x²+7# is an even or odd function?
- How do you determine if #f(x)=x^5-x+5# is an even or odd function?
- How do you determine if # -2x^4-4x+6# is an even or odd function?
- How do you determine if #f(x)= 1/(x³-3x)# is an even or odd function?
- How do you determine if #f(x) = sec x# is an even or odd function?
- How do you determine if #f(x) = x^3 + x# is an even or odd function?
- How do you determine if #f(x) = - 4x^5 - 6x^3# is an even or odd function?
- How do you determine if #f(x) = |x^2 + x|# is an even or odd function?
- How do you determine if #f(x) =sin(2x)# is an even or odd function?
- How do you determine if #f(x) = x^3 - 2# is an even or odd function?
- How do you determine if #g(x) = (4+x^2)/(1+x^4)# is an even or odd function?
- How do you determine if #f(x) = |x-1|# is an even or odd function?
- How do you determine if #f(x) = x^3 - x^5# is an even or odd function?
- How do you determine if #f(x)= | x^3 |# is an even or odd function?
- How do you determine if #f(x) = 3x^5 - 4x + 3# is an even or odd function?
- How do you determine if #f(x) = x^2 - x^8# is an even or odd function?
- How do you determine if #F(x)= sin x + cos x# is an even or odd function?
- How do you determine if #F(x)= cos (sin x)# is an even or odd function?
- How do you determine if #f(x) = x^2 - x^8# is an even or odd function?
- How do you determine if #f(x)= -x^4 + 3x^2# is an even or odd function?
- How do you determine if #g(x) = -6x + 5x^3# is an even or odd function?
- How do you determine if # tanx +secx # is an even or odd function?
- How do you determine if #secx -cscx# is an even or odd function?
- How do you determine if #secx*tanx# is an even or odd function?
- How do you determine if #xcscx# is an even or odd function?
- How do you determine if #f(x) = ln(x + sqrt(x^2 + 1))# is an even or odd function?
- How do you determine if #f(x)=x^2+sin x# is an even or odd function?
- How do you determine if #f(x) = 1/[(3x^3) - 4]# is an even or odd function?
- How do you determine if # f(x) = x^2 / (x^4 + 1)# is an even or odd function?
- How do you determine if #f(x)= (x^2 -1)/(2x)# is an even or odd function?
- How do you determine if #f(x) = 6x^5 -5x# is an even or odd function?
- How do you determine if #g(x) = 4x^2 +2x# is an even or odd function?
- How do you determine if #h(x) = 7x^4 -9x^2# is an even or odd function?
- How do you determine if #f(x)= 1+ sinx# is an even or odd function?
- How do you determine if #f(x)= 2x / |x|# is an even or odd function?
- How do you determine if #f(x)= x /( x^2 - 1)# is an even or odd function?
- How do you determine if #f(x)= x^2+x# is an even or odd function?
- How do you determine if #f(x)=7x^2 - 2x + 1# is an even or odd function?
- How do you determine if #f(x)=8x^6 + 12x^2# is an even or odd function?
- How do you determine if #f(x)=5x# is an even or odd function?
- How do you determine if #f(x)=6x-root3x# is an even or odd function?
- How do you determine if #f(x)=-(x-5) # is an even or odd function?
- How do you determine if # y=-x^3# is an even or odd function?
- How do you determine if # y=sqrt(1-x^2)# is an even or odd function?
- How do you determine if #f(x)= x^5# is an even or odd function?
- How do you determine if #f(x)= tan x# is an even or odd function?
- How do you determine if #f(x)= x^2 + 2# is an even or odd function?
- How do you determine if #f(x)= (x-3)^2# is an even or odd function?
- How do you determine if # f(x)= sin x# is an even or odd function?
- How do you determine if #y=cotx# is an even or odd function?
- How do you determine if #x^(3/2)# is an even or odd function?
- How do you determine if # (x-1)^3(x-5)# is an even or odd function?
- How do you determine if #f(x) = (x^3 - x)/(x^3 - 4x)# is an even or odd function?
- How do you determine if #g(x)= -9x^3 - 8# is an even or odd function?
- How do you determine if #f(x) = sin2x# is an even or odd function?
- How do you determine if #y=x^2+1# is an even or odd function?
- How do you determine if #y=x^3+1# is an even or odd function?
- How do you determine if #y=2x^5+x# is an even or odd function?
- How do you determine if #y=sin x# is an even or odd function?
- How do you determine if #f(x)=x^2(9-x)^2# is an even or odd function?
- How do you determine if # f(x)=x^4+x^2+3# is an even or odd function?
- How do you determine if # f(x)=1-cos x# is an even or odd function?
- How do you determine if #f(x)=x^6-9x^4+5x^2# is an even or odd function?
- How do you determine if #f(x)=2x^3-9x# is an even or odd function?
- How do you determine if #f(x) = 5x^-2 - 4x^4# is an even or odd function?
- How do you determine if #y=1-sin(x)# is an even or odd function?
- How do you determine if # x / (x^2 + 5)# is an even or odd function?
- How do you determine if # h(x)= x^7+x^3+7# is an even or odd function?
- How do you determine if # h(x)= x^4+3x^2# is an even or odd function?
- How do you determine if # y = –6x^3 – 4# is an even or odd function?
- How do you determine if # (sin(x)cos(x)) /( 2tan^2(x))# is an even or odd function?
- How do you determine if #f(x) = x^4 - x^3# is an even or odd function?
- How do you determine if #f(x) = 2x^2 - 2# is an even or odd function?
- How do you determine if #y = (x^4 + 1) / (x^3 - 2x)# is an even or odd function?
- How do you determine if #g(x)=3x^5+2x# is an even or odd function?
- How do you determine if #h(x)=e^(|x|)# is an even or odd function?
- How do you determine if #x^2 - 4# is an even or odd function?
- How do you determine if #f(x) = (x^4) / (x^2 - 1) # is an even or odd function?
- How do you determine if #f(x)=sinxsqrt(x²+1)# is an even or odd function?
- How do you determine if #f(x) = x+1 # is an even or odd function?
- How do you determine if # f(x)=x/(x+1)# is an even or odd function?
- How do you determine if #f(x)=1+3x^3-x^5# is an even or odd function?
- How do you determine if #f(x) = 0.8x^3# is an even or odd function?
- How do you determine if #f(x) = 5x^2# is an even or odd function?
- How do you determine if #f(x) = 0.7x^2 + 3# is an even or odd function?
- How do you determine if #f(x) = 3x - 1# is an even or odd function?
- How do you determine if #f(x) = 8x^3 + 3# is an even or odd function?
- How do you determine if #f(x)= x^4 - 4x^2# is an even or odd function?
- How do you determine if #f(x)= 1 - X^(1/3)# is an even or odd function?
- How do you determine if #f(x) = 2^x + 2^-x# is an even or odd function?
- How do you determine if #F(x) = x + 3# is an even or odd function?
- How do you determine if #p( x) = -(x-4)(x-2)(x+4)(x+2)# is an even or odd function?
- How do you determine if #f(x) = 4x^3 +5# is an even or odd function?
- How do you determine if #f(x)= 2x^3+6x # is an even or odd function?
- How do you determine if #f(x)= 8x^2# is an even or odd function?
- How do you determine if #f(x)= x^3 + 1# is an even or odd function?
- How do you determine if #f(x) = 2x^2 - 7# is an even or odd function?
- How do you determine if #3x = |y|# is an even or odd function?
- How do you determine if #k(x) = -2x^3# is an even or odd function?
- How do you determine if #1/(x^3+1)# is an even or odd function?
- How do you determine if #f(x)=2x^4+3x^2# is an even or odd function?
- How do you determine if #f(x)=1/(x^3+x)^5# is an even or odd function?
- How do you determine if #f(x)= |x^3+x| - Cos x# is an even or odd function?
- How do you determine if #f(x) = 2 cot x# is an even or odd function?
- How do you determine if #y=2x^3 + 4x# is an even or odd function?
- How do you determine if # f(x)=x + abs(x)# is an even or odd function?
- How do you determine if # abs (x)/ x# is an even or odd function?
- How do you determine if # f(x)=(3/2)x# is an even or odd function?
- How do you determine if #f(x)= 5^(sqrt(2x^2-1))# is an even or odd function?
- How do you determine if #f(x)=4x^3# is an even or odd function?
- How do you determine if #f(x)=2x^4-x^2# is an even or odd function?
- How do you determine if #g(x)=-3x^3+5# is an even or odd function?
- How do you determine if #f(x)=x+absx# is an even or odd function?
- How do you determine if #f(x)=1/x^2# is an even or odd function?
- Question #ea892
- Question #9c261
- Question #fb6ad
- How do you simplify #tanx + cosx/(1 + sinx)#?
- Question #d2def
- How do you know if #(3x) / (4-x^2) # is an even or odd function?
- Prove that #(cosxcotx)/(1 - sinx) - 1 = cscx#?
- Question #82719
- If f(x) is an even function and g(x) is an odd function, how do you prove that h(x) = f(x) * g(x) is odd?
- Given #H = x^2 + 8#, what is #H^-1#?
- How do you determine whether a function is odd, even, or neither: #f(x)=2x^4-x^2#?
- How do you determine whether a function is odd, even, or neither: #h(x)=x/(x^2-1)#?
- How do you determine whether a function is odd, even, or neither: #h(x)= -x^3/(3x^2-9)#?
- How do you determine whether a function is odd, even, or neither: #f(x)= (2x)/absx #?
- What is the transformations needed to obtain #y = 17(sqrt(0.3x+3))# from the graph of #sqrt(x)#?
- What is the transformations needed to obtain #h(x)= (-1/2x)^3 + 4# from the graph of #x^2#?
- What is the transformations needed to obtain # f(x)= (x-2)^2# from the graph of #x^2#?
- What is the transformations needed to obtain # x^2 - 2# from the graph of #x^2#?
- What is the transformations needed to obtain #2x^3# from the graph of #x^3#?
- What is the transformations occurred from #y = 3.8(1.2)^x# to #y = 2.7(1.2)^x#?
- What is the transformations occurred from #y = 8.6(1.1)^x# to #y = 9(1.1)^x#?
- How do you describe the transformation in #f(x) = - 2 (x - 7)^2 + 8 #?
- How do you describe the transformation in #F(x)=5^-x - 2 #?
- How do you describe the transformation in #y = (2x + 1)^2 - 2#?
- How do you describe the transformation in #y=1/3x^3+2#?
- How do you describe the transformation in #y=2^(x-3)#?
- How do you describe the transformation in #y=(x+3)^2-1#?
- If the graph #y=x^3 + 5# is reflected in the x axis what is the new equation?
- What is the transformation that maps y=cosX on to y=cos1/2 X?
- How do you describe the sequence of transformations of #y = -2tan(x+(pi/4))#?
- Given #g(x)=e^x +3#, how do you describe the transformation?
- Given #h(x)=e^-x#, how do you describe the transformation?
- Given #g(x)=log(x+2)#, how do you describe the transformation?
- Given #g(x)=-log(x)#, how do you describe the transformation?
- Given #y=2^(x-3)#, how do you describe the transformation?
- Given # y= -2f(1-2x)+3#, how do you describe the transformation?
- Given #f(x+1) #, how do you describe the transformation?
- Given #f(x)+1 #, how do you describe the transformation?
- Given #f(-x)#, how do you describe the transformation?
- Given #-f(x)#, how do you describe the transformation?
- Given #f(-3x)#, how do you describe the transformation?
- Given #|f(x)|#, how do you describe the transformation?
- Given #f(|x|)#, how do you describe the transformation?
- Given #g (x) = e^x + 2#, how do you describe the transformation?
- Given #h (x) = -e^x#, how do you describe the transformation?
- Given #f(x)=x^2 - 7#, how do you describe the transformation?
- If #f(x)=2x^2#, how do you find #f(x-6)#?
- If #f(x)=2x^2#, how do you find #f(2x)#?
- If #f(x)=2x^2#, how do you find #3f(x)#?
- If #f(x)=x^2-x#, how do you find #3f(x)#?
- If #f(x)=x^2-x#, how do you find #f(x)+5#?
- If #f(x)=x^2-x#, how do you find #f(x-6)#?
- If #f(x)=x^2-x#, how do you find #f(2x)#?
- If #f(x)=x^2-x#, how do you find #f(-x)#?
- How do you describe the transformation for #g(x)=-3(sqrt(x+1))-4#?
- What is the value of #tanx + cotx#?
- Question #3104b
- What required transformations are needed to convert the graph of #y=2(x+3)^4+(x+3)^2+x+7# to the graph of #y=2x^4+x^2+x#?
- If #f: R - {3} -> R - {4}# , and the function #f(x)=(mx+4)/(nx-9)# is one to one and onto, what is #f(1/3)# ?
- In order for the function #f(x)=k(x-1)+x(k+3)+2# to be a constant function, what should be the value of #k# ?
- If #f(x) = 4^(x+1)# , what is #f(2x+3)# in terms of #f(x)# ?
- If the function #f(x) = (3x-c)/(ax+2)# is a constant function, what is the value of #a*c# ?
- What is the inverse of the function # f(x) = x +3 #?
- Verify: #-(cotA+cotB)/(cotA-cotB) = sin(A+B)/sin(A-B)# ?
- Question #b8eba
- What is the inverse of #h(x)=-4/x^2#?
- What would the inverse of #y=1/x# be?
- Would# f(x)=root(3)( -x+2)# be a odd function?
- Inverse equation: #f^-1(x)=(-11x-1)/(-7x+3)# were #x!=3/7#, what would the domain be?
- How do you write the equation for the graph obtained when the parent graph is #y=x^3# and it is translated 4 unites left and 7 units down?
- What is the difference between #y=(x+3)^2# and #y=x^2+3#?
- How are the graphs #f(x)=absx# and #g(x)=abs(x+4)# related?
- How are the graphs #f(x)=x^3# and #g(x)=-(3x)^3# related?
- How are the graphs #f(x)=x^2# and #g(x)=(0.2x)^2# related?
- How are the graphs #f(x)=x^3# and #g(x)=-(2x)^3# related?
- How are the graphs #f(x)=x^3# and #g(x)=0.75(x+1)^3# related?
- How are the graphs #f(x)=x# and #g(x)=x+6# related?
- How are the graphs #f(x)=x# and #g(x)=3/4x^2# related?
- How are the graphs #f(x)=absx# and #g(x)=abs(5x)# related?
- How are the graphs #f(x)=x^3# and #g(x)=(x-5)^3# related?
- How are the graphs #f(x)=1/x# and #g(x)=3/x# related?
- How are the graphs #f(x)=sqrtx# and #g(x)=-sqrt(0.4x)+3# related?
- How are the graphs #f(x)=x^2# and #g(x)=-(1.5x)^2# related?
- How are the graphs #f(x)=x^2# and #g(x)=4(x-3)^2# related?
- How are the graphs #f(x)=x^2# and #g(x)=1/2x^2-5# related?
- How are the graphs #f(x)=absx# and #g(x)=7absx-0.4# related?
- How are the graphs #f(x)=absx# and #g(x)=-9abs(x+1)# related?
- How are the graphs #f(x)=x^3# and #g(x)=(x+2)^3-5# related?
- How do you graph #f(x)=-(x+4)+5# using transformations?
- How do you graph #g(x)=abs(x^2-4)# using transformations?
- How do you graph #q(x)=-4abs(x-2)-1# using transformations?
- How do you graph the function and its inverse of #f(x)=absx+1#?
- How do you graph the function and its inverse of #f(x)=x^3+1#?
- How do you graph the function and its inverse of #f(x)=-(x-3)^2+1#?
- How do you find #f^-1(x)# given #f(x)=-3x+2#?
- How do you find #f^-1(x)# given #f(x)=1/x^3#?
- How do you find #f^-1(x)# given #f(x)=(x+2)^2+6#?
- How do you find #f^-1(x)# given #f(x)=2x+7#?
- How do you find #f^-1(x)# given #f(x)=-x-2#?
- How do you find #f^-1(x)# given #f(x)=1/x#?
- How do you find #f^-1(x)# given #f(x)=-1/x^2#?
- How do you find #f^-1(x)# given #f(x)=(x-3)^2+7#?
- How do you find #f^-1(x)# given #f(x)=x^2-4x+3#?
- How do you find #f^-1(x)# given #f(x)=1/(x+2)#?
- How do you find #f^-1(x)# given #f(x)=1/(x-1)^2#?
- How do you find #f^-1(x)# given #f(x)=-2/(x-2)^3#?
- How do you find #f^-1(x)# given #f(x)=3/(x^2+2x)#?
- How do you graph the function #f(x)=absx+2# and its inverse?
- How do you graph the function #f(x)=abs(2x)# and its inverse?
- How do you graph the function #f(x)=x^3-2# and its inverse?
- How do you graph the function #f(x)=3# and its inverse?
- How do you graph the function #f(x)=-(x+2)^2-5# and its inverse?
- How do you graph the function #f(x)=(x+1)^2-4# and its inverse?
- How do you find the inverse of #f(x)=root3(x+2)#?
- If G(x)=1/x were shifted 4 units to the left and 4 units up, what would the new equation be?
- If #f(x)=x^2# and #g(x)=-12x+7#, how do you find the domain and range of f(x), g(x), and f(g(x))?
- If #f(x)=-2x^2-5x# and #g(x)=3x+2#, how do you find the domain and range of f(x), g(x), and f(g(x))?
- How do you draw a graph of a relation that is not a function?
- How do you find the domain and range and is it a function given points #{(1,-2), (1,4), (1,-6), (1,0)}#?
- How do you find the domain and range and is it a function given points #{(4,-2), (4,2), (1,-1), (1,1), (0,0)}#?
- How do you find the domain and range and is it a function given points #{(0,0), (2,2), (2,-2), (5,8), (5,-8)}#?
- How do you find the domain and range and is it a function given points #{(-1.1,-2), (-0.4,-1), (-0.1,-1)}#?
- How do you find the domain and range and is it a function given points #{(2,-3), (9,0), (8m-3), (-9,8)}#?
- How do you write on equation for a function, g(x), that has been translated 3 units to the right of #f(x)=2x^2-8x+1#?
- How do you write an equation for a function, h(x), that has been translated 5 units down from #f(x)=2x^2-8x+1#?
- How do you identify the translation of the parent function for #y=-absx+2#?
- How do you describe the translation from the graph #y= 2(x-15)^2+3# to the graph of #y=2(x-11)^2+3#?
- How do you describe the translation from the graph #y=(x-5)^2+7# to the graph #y=(x+1)^2-2#?
- Describe how to translate the graph of #y=sqrtx# to obtain the graph of #y=sqrtx-9#?
- Which equation is the inverse of #5y+4 =(x- 3)^2+1/2#?
- For the function #f(x)=(x-3)^3+1#, how do you find #f^-1(x)#?
- Let f(x)=8x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 and a translation of 7 units down. What is an equation for g(x)?
- How do you simplify #tan^2x - (cot^2x + 1)/cot^2x#?
- What transformation can you apply to #y=sqrtx# to obtain the graph #y=5sqrt(x+20)#?
- What transformation can you apply to #y=sqrtx# to obtain the graph #y=sqrt(-2x)-8#?
- What transformation can you apply to #y=sqrtx# to obtain the graph #y=-sqrt(1/6(x-11)#?
- What transformation can you apply to #y=sqrtx# to obtain the graph #y=-sqrt(x-1)+2#?
- What transformation can you apply to #y=sqrtx# to obtain the graph #y=3sqrt(-x)-4#?
- What transformation can you apply to #y=sqrtx# to obtain the graph #y=sqrt(2(x+3))+1#?
- What transformation can you apply to #y=sqrtx# to obtain the graph #y=-2sqrt(3(x-4))+9#?
- #(sin x)'=cos x, (cos x)'=-sin x, int sin x dx = -cos x + C, int cos x dx = sin x + C and e^(ix)=cos x + i sin x#. Are all these OK, if x is in degree mode?
- #Y= x^2# is translated 3 units to the right and 1 unit up?
- If #f(x)=x^2-16#, #g(x)=16-x^2#, how do you find #(f-g)(x)#?
- How do you describe the transformation of #f(x)=(x-8)^2# from a common function that occurs and sketch the graph?
- How do you describe the transformation of #f(x)=x^3+7# from a common function that occurs and sketch the graph?
- How do you describe the transformation of #f(x)=2-(x+5)^2# from a common function that occurs and sketch the graph?
- How do you describe the transformation of #f(x)=(x-1)^3+2# from a common function that occurs and sketch the graph?
- How do you describe the transformation of #f(x)=(x+3)^3-10# from a common function that occurs and sketch the graph?
- How do you describe the transformation of #f(x)=-absx-2# from a common function that occurs and sketch the graph?
- How do you describe the transformation of #f(x)=-abs(x+4)+8# from a common function that occurs and sketch the graph?
- How do you describe the transformation of #f(x)=sqrt(x-9)# from a common function that occurs and sketch the graph?
- How do you describe the transformation of #f(x)=sqrt(x+4)+8# from a common function that occurs and sketch the graph?
- How do you describe the transformation of #f(x)=sqrt(1/2x)-4# from a common function that occurs and sketch the graph?
- How do you describe the transformation of #f(x)=sqrt(3x)+1# from a common function that occurs and sketch the graph?
- How do you identify the transformation of #h(x)=x^2-9#?
- How do you identify the transformation of #h(x)=(x-2)^3+2#?
- How do you identify the transformation of #h(x)=sqrt(x-7)#?
- How do you identify the transformation of #h(x)=abs(x+3)-5#?
- How do you identify the transformation of #h(x)=-sqrt(x+1)+9#?
- How do you identify the transformation of #h(x)=-1/3x^3#?
- How do you identify the transformation of #h(x)=-2sqrt(x-4)#?
- How do you sketch the graph #g(x)=-x^5-3# and #f(x)=x^5# using transformations and state the domain and range of g?
- How do you sketch the graph #g(x)=(x+1)^5+10# and #f(x)=x^5# using transformations and state the domain and range of g?
- What are examples of a function which is (a) onto but not one-to-one; (b) one-to-one but not onto, with a domain and range of #(-1,+1)#?