Free Response
The graph of g'(x), the derivative of a function g(x) is pictured below on the closed interval
[-9, 12]. g'(x) has relative extreme values at x = -1 and x = 2. Use the graph to answer
the following questions.
A) On what interval(s) of x is the graph of g(x) increasing? Justify your reasoning.
B) At what value(s) of x does the graph of g(x) have relative minimum(s)? Justify your reasoning.
C) On what interval(s) of x is the graph of g(x) concave up? Justify your reasoning.
D) Determine all x values at which g(x) has a point of inflection. Justify your reasoning.