Sketch a graph using functions

Overview

The graph of the first derivative f' (x) of the function f(x) is shown above. f(x) is bound by the interval |-8, 2].

• On what interval(s) is f(x), not f' (x), increasing or decreasing?
• Express your answers using interval notation.
• At what value(s) of x does f(x), not f' (x), have local extreme points (if they exist at all)?

Label each as a local maxima or local minima

• On what interval(s) is f(x), not f' (x), concave up or concave down?
• Express your answers using interval notation.
• At what value(s) of x does f(x), not f' (x), have inflection points?

Note: There are 4 parts to this question, be sure to answer all 4 parts!