Functions on a Cartesian Plane

Topic Page

Questions

• How do you plot a function on a cartesian plane?
• What does #(x,y)# mean?
• How do you plot #(1,-4)# on the coordinate plane?
• Where is the x-axis and y-axis located?
• What is the input and the output for the points #(2,3)# and #(-4, 0)#?
• How would you create a #(x,y)# table for the equation #y=2x-1#?
• Which quadrant does #(-3, 4)# lie in?
• How would you plot the point #(-4,0)# on the cartesian plane?
• How do you find the polynomial function whose graph passes through (2,4), (3,6), (5,10)?
• What are the asymptotes of (x^2+4)/(6x-5x^2)?
• What is an asymptote?
• Do asymptotes always converge to a value?
• What is the difference between a vertical and horizontal asymptote?
• Can a function have a vertical asymptote?
• What are the vertical and horizontal asymptotes of #y = (x+3)/(x^2-9)#?
• What are the vertical and horizontal asymptotes of #y = ((x-3)(x+3))/(x^2-9)#?
• What is the formula for the vertical asymptotes of tan(x)?
• What are the asymptotes of: #f(x)= (3e^(x))/(2-2e^(x))#?
• What are the asymptote(s) and hole(s) of: #f(x)=(x^2+x-12)/(x^2-4)#?
• What is the asymptote of: #f(x) = 1/x - x#?
• What are the horizontal and vertical asymptotes of: #f(x)=xtan(x)#?
• What are the asymptotes of #f(x)=(4tan(x))/(x^2-3-3x)#?
• What are the asymptotes of #f(x) = tan(2x)#?
• Does #f(x) = tan(2x)# have more asymptotes than #g(x)=tan(x)#?
• What are the asymptotes of #f(x) = (2x-1) / (x - 2)#?
• What are the asymptotes of #y=(2x^2 +1)/( 3x -2x^2)#?
• What is the difference between an asymptote and a hole?
• Does #f(x)=((x-1)(x+1))/(x^2-1)# have an asymptote or a hole?
• What are the asymptotes of #f(x)=(1/(x-10))+(1/(x-20))#?
• What are the asymptotes of #f(x)=(1-5x)/(1+2x)#?
• Is the following set of ordered pairs a function: (4,5),(3,4),(-2,5),(6,-8),(5,1)?
• Is (1,2), (2,2), (4,5), (1,-4) a function?
• Is (3,4),(5,1)(6,3),(6,4) a function?
• How do you decide whether the relation #y = - 7 / 2x - 5 # defines a function?
• How do you decide whether the relation #y=x^6 # defines a function?
• How do you decide whether the relation #2x + 4y = 5# defines a function?
• How do you decide whether the relation # x^2 + y = 81# defines a function?
• How do you decide whether the relation #x^2 + y^2 = 1# defines a function?
• How do you decide whether the relation #x + y^3 = 64# defines a function?
• How do you decide whether the relation #2x^2+7y^2=1# defines a function?
• How do you decide whether the relation #xy=9# defines a function?
• How do you decide whether the relation #sqrt(x+40)# defines a function?
• How do you decide whether the relation #abs(x)-y=5# defines a function?
• How do you decide whether the relation #x=y^2# defines a function?
• How do you decide whether the relation #f(x)= x/ [(x+2)(x-2)]# defines a function?
• How do you decide whether the relation #x + y = 25# defines a function?
• How do you decide whether the relation #x^2 + y^2 = 25# defines a function?
• How do you decide whether the relation #7x^2+y^2=1# defines a function?
• How do you decide whether the relation #xy+7y=7# defines a function?
• How do you decide whether the relation #(x-3)^2 + (y+1)^2 = 25# defines a function?
• How do you decide whether the relation #4x-7y=3# defines a function?
• How do you decide whether the relation #x^2-3y =12# defines a function?
• How do you decide whether the relation #x - 3y = 2# defines a function?
• How do you decide whether the relation #x = y^2 - 2y + 1# defines a function?
• How do you decide whether the relation #x^2 +y^2 =16# defines a function?
• How do you decide whether the relation #y = 13x+1# defines a function?
• How do you decide whether the relation #│2y│ = 4x# defines a function?
• How do you decide whether the relation #x = y²# defines a function?
• How do you decide whether the relation #3y - 1 = 7x +2# defines a function?
• How do you decide whether the relation #y^2 =4x# defines a function?
• Question #cc781
• Find all real functions f from #RR->RR# satisfying the relation #f(x²+yf(x))=xf(x+y)# ?
• Question #e4125
• Let #RR# denoted the set of real numbers. Find all functions #f:RR->RR#,satisfying #abs(f(x) - f(y)) = 2 abs(x-y)# for all #x,y# belongs to #RR#.?
• Question #6c402
• What is the difference between an axiom and a property?
• Question #f6f50
• How do you find the vertical, horizontal, and oblique asymptotes of #H(x)=(x^4+2x^2+1)/(x^2-x+1)#?
• Is that true to say: For every set A defined by A={ A : ∅∉A } then the Cardinality of A equals to |A|-1 ?
• Question #294f3
• Do the following equations define functions: (i) #y = x^2-5x# (ii) #x = y^2-5y# ?
• Question #0bb54
• Question #ced88