Question 1028278
Here is the graph of the equation
{{{ graph( 300, 200, -5.5, 2.8, -40, 20, x^3 +4x^2 -3x -18) }}}
:
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