Question

What are the relative minimum and relative maximum values over the interval [−4, 4] for the function shown in the graph?

A. relative minimum = −36 , relative maximum = 64

B. relative minimum = 0, relative maximum = 64

C. relative minimum = −3 , relative maximum = 64

D. relative minimum = −3 , relative maximum = −36

Answer 1

A relative minimum = −36 , relative maximum = 64

Answer 2

A

Explanation:

The relative minimum is where the curve changes directions from down to up. The relative maximum is where the curve changes direction from up to down.

In the interval [-4, 4], there are two relative minimums: y=-36. And there is one relative maximum: y=64.

Answer A.