# Exponential and Logistic Graphs

### Topic Page

Exponential and Logistic Graphs### Questions

- What is an exponential function?
- How do I find the exponential function of the form #f(x)=ab^x# for which #f(-1)=10# and #f(0)=5#?
- How do I find an exponential function that passes through two given points?
- What is the range of a logistic function?
- What is the general form of a logistic function?
- What is a logistic function?
- How do I find a logistic function from its graph?
- How does an exponential function differ from a power function?
- How does exponential growth differ from logistic growth?
- How do you find the exponential function, #n(t)=n_oe^(kt)# that satisfies the conditions #n(0)=3# and #n(7)=21#?
- How do you graph the function #f(x)= log_10 x#?
- How do you graph #f(x) = log_(1/2) x+1#?
- How does the graph of #f(x) = log_2(x - 5) - 2# compare to its parent function f(x) = #log_2 x#?
- A bacteria population is initially 320. After 52 minutes, they've grown in number to 700. What is the doubling time for this population?
- Is #y = 3^x# an exponential function?
- Question #9e831
- How do you graph #G(t) = 8 - 2^t #?
- How do you make a table to graph #f(x)=6^x#?
- How do you make a table to graph #f(x)=3^(x - 2)#?
- How do you make a table to graph #f(x)=(1/2)^x #?
- How do you make a table to graph #f(x)=2 log x#?
- How do you make a table to graph #y=1500*365^(1.68x)#?
- How do you make a table to graph #f(x)=(1/7)^x#?
- How do you make a table to graph #f(x)=(1/2)^(x -3)#?
- How do you make a table to graph #f(x)=(1/3)^(x-3)#?
- How do you make a table to graph # f(x) = 2 - e ^ (x / 2)#?
- How do you make a table to graph #y= 40^x#?
- How do you make a table to graph #g(x)=(5/8)^x#?
- How do you make a table to graph #y=-5^x#?
- How do you graph ln(x)?
- How do you find the x intercept for #f(x)=2log4(x)#?
- How do you find the y intercept for #y = 1 - e^x#?
- How do you graph #h(x)=ln(x+6)#?
- How do you graph the exponential function #g(x)=(8/5)^x#?
- How do you graph the exponential function #f(x) = 6^x#?
- How do you graph the exponential function #f(x) = 3^x+1#?
- How do you graph the exponential function #f(x) = 4^x + 2#?
- How do you graph the exponential function #f(x)=(1/7)^x#?
- How do you graph the exponential function #f(x)=(1/2)^x -3#?
- How do you graph the exponential function #f(x) =2^x#?
- How do you graph the exponential function #y= 2^x+1#?
- If (-1, y) lies on the graph of y = 3^x+1, then what is y?
- If (x, 1/100) lies on the graph of y = 10^x, then what is x?
- If (-1, y) lies on the graph of #y = 2^(2x)#, then what is y?
- What is the relationship between the graphs of #y = 2^x# and #y = 2^-x#?
- If (-2, y) lies on the graph of #y = 4^x#, then what is y?
- If (-3, y) lies on the graph of #y = 3^-x#, then what is y?
- If (-3, y) lies on the graph of y = 3^x, then what is y?
- If (-3, y) lies on the graph of y = (1/2)^x, then what is y?
- How do you find the intercepts, asymptotes and graph #f(x)= 4^(x+1)-5#?
- How do you find the intercepts, asymptotes and graph # y=(1/2)^x#?
- How do you find the intercepts, asymptotes and graph #f(x)=5^x-2#?
- How do you find the intercepts, asymptotes and graph #y=5^x#?
- How do you find the intercepts, asymptotes and graph #y=3^x+2#?
- How do you find the intercepts, asymptotes and graph #y = 6(4^(2x))#?
- How do you find the intercepts, asymptotes and graph #y = 2^(x/4)#?
- How do you write exponential function for a graph that includes given points (4,8) (6,32)?
- How do you graph exponential function #f(x) = 3^x#?
- How do you graph the exponential model #y = 1.5(1/2)^x#?
- How would you graph #y= -lnx# ?
- How would you graph #f(x)= 2 ln x#?
- How would you graph #y= | ln(x) | #?
- How would you graph #y = ln(x-1) +3# without a calculor?
- How would you graph #g(x)=e^(x-1)# without a calculor?
- How would you graph #y = ln(x^2) # without a calculator?
- How do you graph #y=ln(tan^2 x)#?
- How do you graph #f(x)= log_5(x)#?
- How do you graph #y=ln(x^2 +1)#?
- A line with slope m passes through the origin and is tangent to the graph of y = ln x. What is the value of m? What is the equation of the tangent line?
- How do you graph #ln(4-x)#?
- How do you graph #sqrt(ln x) #?
- How do you graph #ln(-x) #?
- How do you graph #ln(abs(x))#?
- How do you graph #f(x)=2-ln(x+4)#?
- How do you graph #y=e^(ln x)#?
- Where does the graph of #ln(x)-(ln(7-x))-9=y# cross the x-axis?
- How do you find the domain and inverse of #f(x)=ln(3+ln(x))#?
- How do you graph #y=ln(x+3)#?
- How do you graph #y=(lnx)/x#?
- How do you graph # f(x)=ln(x)-1#?
- How do you graph #f(x)=2+ln x#?
- How do you graph #y=xlnx#?
- How do you graph #f(x)= log_(5)(x)#?
- How do you graph # ln(x-2)#?
- How do you graph #y = ln(x) #?
- How do you graph #f(x) = 3 ln (x-2)#?
- How do you graph #f(x)=ln x + 6#?
- How do you graph #y=ln(x-k)+2#?
- How do you graph #y=ln(x/2) #?
- How do you graph # y=2ln(x+1)#?
- How do you graph #y= ln(5 -x^2)#?
- How do you graph #y=ln(1/3x)#?
- How do you graph #y =2^x#?
- How do you graph #F(x)=ln(x-3)#?
- How do you graph #y=5ln(3x)#?
- How do you graph #f(X)=ln(2x-6)#?
- How do you graph #y=ln abs(x+3)#?
- How do you graph #f(x)=ln (x-1)+2#?
- How do you graph #-2 ln x#?
- How do you graph #y = -1 + log_2x#?
- How do you graph #f(x)=ln|x|#?
- How do you find the x intercept of #q(x) = ln ( x - 7 ) + 4#?
- How do you graph #f(x) = log (x) + 4 #?
- How do you graph #f(x) = log (x – 2) #?
- How do you graph #f(x) = log(0.2) (x + 6)#?
- How do you graph # F(x)= log_2(x-3)#?
- How do you graph # F(x)= log_(1/3)(x+5) #?
- How do you graph # y = log_3 (x - 2)#?
- How do you graph #y=logx#?
- How do you graph #f(x)=ln(x)#?
- How do you graph #F(x)=log_3(x-2)#?
- How do you graph #g(x)=1/2log_3 (x+4)+3#?
- How do you graph #y=lnx+2#?
- How do you graph #g(x) = 1/4log_2 (x - 4) - 3#?
- How do you graph #y = 2-log_(2)(x+4)#?
- How do you graph #f(x)=lnx-1#?
- How do you graph #f(x)=ln(x)+5#?
- How do you graph #y= ln(4-x)#?
- How do you graph # y = ln((2x-1)/(x+1))#?
- How do you graph #f(x)= 2 ln x#?
- How do you graph #f(x)= x ln (x) - x#?
- How do you graph #f(x)=2+ln x#?
- How do you graph #[ln(1+x^3)]/x #?
- How do you graph #g(x) = log_3(x - 4)#?
- How do you graph #f(x) = log_2x#?
- How do you graph #y=ln(x+1)#?
- How do you graph #F(x)=ln(x-3)#?
- How do you graph #y=ln(x+1)#?
- How do you graph #k(x) = ln (x + 3) + 6 #?
- How do you graph #g(x) = -log(x)#?
- How do you find the exponential model #y = ae^(bx)# that fits the two points (0, 8), (1, 3)?
- The exponential growth model #A=203e^(0.011t)# describes the population of the United States, A, in millions, t years after 1970. What was the population of the United States in 1970?
- The exponential growth model #A=203e^(0.011t)# describes the population of the United States, A, in millions, t years after 1970. When will the US population be 300 million?
- How do you graph and find the domain and range of #f(x)=log_2(x+1)+3#?
- How do you graph #y=1+log_4x#?
- How do you graph #y=2+log_6(x-2)#?
- How do you graph #y=log_6(x-1)-5#?
- How do you graph #y=log_5(x-1)+3#?
- How do you graph #y=log_2(x-1)+3#?
- How do you graph #y=log_5(x+1)+1#?
- How do you graph #y=log_4(x+2)+1#?
- How do you graph #y=log_4(3x+11)-5#?
- How do you graph #y=log_5(2x+2)+5#?
- How do you graph #y=log_2(4x-11)-2#?
- How do you graph #y=lnx+3#?
- How do you graph #y=lnx-1#?
- How do you graph #y=log_4x#?
- How do you graph #y=log_7x#?
- How do you graph #y=log_11x#?
- How do you graph #y=log_4(x+1)#?
- How do you graph #y=log_2(x-5)-3#?
- How do you graph #y=log_4(x-7)+9#?
- How do you graph #y=log_7(x-4)+4#?
- How do you graph #y=4^(x-2)-1#?
- How do you graph #y=1/2e^x+1#?
- How do you graph #y=log_(1/2)x#?
- How do you graph #y=lnx-4#?
- How do you graph #y=log(x+6)#?
- How do you graph #y=-2^x#?
- How do you graph #y=5*2^x#?
- How do you graph #y=5^x#?
- How do you graph #y=3(4/3)^x#?
- How do you graph #y=(1/2)*3^x#?
- How do you graph #y=-2(2.5)^x#?
- How do you graph #y=-3*2^(x+2)#?
- How do you graph #y=2^(x+1)+3#?
- How do you graph #y=3^(x-2)-1#?
- How do you graph #y=2xx3^(x-2)-1#?
- How do you graph #y=(1/3)^x+1#?
- How do you graph #y=2(1/3)^(x+1)-3#?
- How do you graph #y=(2/3)^(x-4)-1#?
- How do you graph #y=-3(1/4)^(x-1)#?
- How do you graph #y=6(1/2)^(x+5)-2#?
- The graph of #y=e^x/2# is the bisector-graph of the graphs for #y = cosh x and y = sinh x#. How do you use these graphs to show that the limit for the indeterminate form #oo-oo# could be 0?.
- How do you graph #log_a(b)#?
- #f(0)=n and f(x)=sinh (nx)/sinh x#, for #|x|>0#. How do you make two graphs, for n = 2 and n = 3?
- What is an example of an exponential equation and its related logarithmic equation?
- What is the relationship between #y=3^x# and #y=log_3x#?
- How do you sketch the graph of #y=log_(1/2)x# and #y=(1/2)^x#?
- How do you sketch the graph of #y=log_2x+3#?
- How do you sketch the graph of #y=log_2x-4#?
- How do you sketch the graph of #y=log_2(x-1)#?
- How do you sketch the graph of #y=log_2(x+2)#?
- How do you graph #y=3^-x#?
- How do you graph #y>2^x-4#?
- How do you graph #y=2^x#?
- How do you graph #y=2^-x#?
- How do you graph #y=2^(x+3)#?
- How do you graph #y=(1/5)^x#?
- How do you graph #y< 2^(x-4)#?
- How do you graph #y=log_(1/2)x#?
- How do you graph #y>=log_6 x#?
- How do you graph #y=3log_2x#?
- How do you graph #y>log_10(x+1)#?
- A rectangle #OABC# is drawn so that #O# is the vertex of parabola #y=x^2# and #OA# and #OB# are two chords drawn on the parabola. What is the locus of point #C#?
- Question #7bbc6
- If the graph of #y=AB^x# passes through the points (2,3) and (5,81), then what is the value of B?
- How do you graph #y=log_2(x+1)+3#?
- How do you graph the function #y=5(2)^x#?
- How do you sketch #y=10^(x+2)#?
- How do you sketch #y=-2^(-x)#?
- How do you sketch #y=e^absx#?
- How do you sketch #y=1-1/2e^-x#?
- How do you sketch #y=2(1-e^x)#?
- How do you use the graph of #f(x)=3^x# to describe the transformation of #g(x)=3^(x-4)#?
- How do you use the graph of #f(x)=4^x# to describe the transformation of #g(x)=4^x+1#?
- How do you use the graph of #f(x)=-2^x# to describe the transformation of #g(x)=5-2^x#?
- How do you use the graph of #f(x)=10^x# to describe the transformation of #g(x)=10^(-x+3)#?
- How do you use the graph of #f(x)=(7/2)^x# to describe the transformation of #g(x)=-(7/2)^(-x+6)#?
- How do you use the graph of #f(x)=6^-x# to describe the transformation of #g(x)=6^x#?
- How do you graph #f(x)=-log_3x#?
- How do you graph #f(x)=log_3(x-1)#?
- How do you graph #f(x)=log_3(1-x)#?
- How do you find the domain, x intercept and vertical asymptotes of #g(x)=log_6x#?
- How do you find the domain, x intercept and vertical asymptotes of #y=-log_3x+2#?
- How do you find the domain, x intercept and vertical asymptotes of #h(x)=log_4(x-3)#?
- How do you find the domain, x intercept and vertical asymptotes of #f(x)=-log_6(x+2)#?
- How do you find the domain, x intercept and vertical asymptotes of #y=log_5(x-1)+4#?
- How do you find the domain, x intercept and vertical asymptotes of #y=log_10(x/5)#?
- How do you find the domain, x intercept and vertical asymptotes of #f(x)=ln(3-x)#?
- How do you find the domain, x intercept and vertical asymptotes of #f(x)=log_10(x+1)#?
- How do you find the domain, x intercept and vertical asymptotes of #f(x)=ln(x-1)#?
- How do you find the domain, x intercept and vertical asymptotes of #f(x)=ln(x+2)#?
- How do you find the domain, x intercept and vertical asymptotes of #f(x)=lnx+2#?
- How do you find the domain, x intercept and vertical asymptotes of #f(x)=3lnx-1#?
- How do you graph #f(x)=5^x+2#?
- A cup of coffee cools according to the equation #T(t)=65(1/2)^(t/22)#, where T is the temperature in degree celcius after t minutes. How do you determine the temperature of the coffee after 30 minutes?
- Question #27c70
- Question #3cfa1
- How do you graph #f(x)=4^(x-2)# and state the domain and range?
- How do you graph #f(x)=2^x+1# and state the domain and range?
- How do you graph #f(x)=-2(3^(x+1))+2# and state the domain and range?
- How do you graph #f(x)=(3/2)^x-2# and state the domain and range?
- How do you graph #f(x)=2^(x-1)-3# and state the domain and range?
- How do you graph #f(x)=4(2^x)+1# and state the domain and range?
- How do you graph #f(x)=(1/3)^(x+1)+2# and state the domain and range?
- How do you graph #f(x)=-(2/3)^x+3# and state the domain and range?
- How do you graph #f(x)=4(3/4)^(x+1)-5# and state the domain and range?
- A mathematical model has an equation #y = ae^(bx)# and this curve passes through the points # A(0,1/2)# and #B(4,5) #. Find a and b?