SOLUTION: Find all -intercepts and -intercepts of the graph of the function. f(x)=-x^3+x^2+12x If there is more than one answer, separate them with commas.

Question 422556: Find all -intercepts and -intercepts of the graph of the function.
f(x)=-x^3+x^2+12x
If there is more than one answer, separate them with commas.

Found 2 solutions by MathLover1, lwsshak3:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

or
...replace with

set and find solutions

first solution is
second solution is .....->...
third solution is .....->...

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
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:
..

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