SOLUTION: Graph the following polynomial, showing the end behaviors, x-intercepts, behavior at x-intercepts, and y-intercept. NEED HELP PLEASE... I have to show the steps.

Question 1028278: Graph the following polynomial, showing the end behaviors, x-intercepts, behavior at x-intercepts, and y-intercept. NEED HELP PLEASE... I have to show the steps.

f(x) = x^3 + 4x^2 � 3x � 18
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Here is the graph of the equation

:
f'(x) = 3x^2 +8x -3
:
note if f'(x)>0, then f(x) is increasing and if f'(x)<0, then f(x) is decreasing
:
1) left end of f(x) is increasing and right end of f(x) is increasing
:
2) x-intercepts are -3 and 2
:
3) at x = -3, f(x) is changes from increasing to decreasing, x = -3 is a local maximum.
at x = 2, f(x) is increasing
:
4) y intercept is -18, f(x) is decreasing at y-intercept
note set x = 0 and you get the y intercept

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