Question 422556
Find all -intercepts and -intercepts of the graph of the function.
f(x)=-x^3+x^2+12x 

..

f(x)=-x^3+x^2+12x
    =-x(x^2-x-12)
    0=-x(x-4)(x-3)

y-intercept
x=0
y=0
..
x-intercept
y=0
x=0,4,3
The graph below is a check of the intercepts obtained above:
..

{{{ graph( 300, 300, -5, 10, -10, 10, -x*(x-4)*(x-3)
) }}}