Problema Solution

For the function below, provide the following:

x-intercept(s)

y-intercept(s)

end behavior of the graph

graph of this function.

Please show all of your work and submit your graph in the Dropbox.

f(x) = f(x)=9x-x^3

Answer provided by our tutors

f(x) = f(x)=9x-x^3

x-intercept(s) are given by plug in y=0.

9x-x^3=0

x(9-x^2)=0.

x=0, x^2=9.

x=0,3,-3.

x - intercepts are ( 0,0), (3,0), (-3,0).

y-intercept(s) are given by plug in x=0.

At x=0 y=f(0)=0.

No y-intercepts.