Question

g(x) has a positive derivative over(-inf,-2)&(4,7)
and a negative derivative over (-2,4)&(7,inf)
draw graph

Answer 1

A basic test of your understanding of what derivative means. You need to figure this out.

Answer 2

In short, what is the function doing when the derivative is positive?
What is it doing when the derivative is negative?

Answer 3

positive it is going up to the right negative it is going down to the right