x-intercepts at x=−3, x=0, and x=2 Relative maximum at (−2, 8) Relative minimum at (1, −4) what does this graph look like

Question

 On which interval(s) is the function increasing? On which interval(s) is the function decreasing Describe the end behaviors of the function as x→−∞ and as x→∞.
 

Answer 1

The graph passes through the origin (x=0 is a zero) and cuts the x-axis at (-3,0) and (2,0).

It is increasing for -∞<x<-2, decreasing for -2<x<1, increasing 1<x<∞.

As x→-∞, f(x)→-∞ and as x→∞, f(x)→∞.