Question

question #8
which of the following points would be a relative maximum?

none of these points would be a relative maximum.
point c
point b
point a

Explanation:

Step1: Recall relative - maximum definition

A relative maximum is a point where the function changes from increasing to decreasing.

Step2: Analyze point A

Near point A, the function is decreasing on both sides, so it's not a relative maximum.

Step3: Analyze point B

The function is increasing before point B and decreasing after it, so it's a relative maximum.

Step4: Analyze point C

Near point C, the function is increasing on both sides, so it's not a relative maximum.

Answer:

C. Point B