the function ( f(x) ) is graphed below. how many points on the graph represent a relative extreme value?

Answer:

(2)

Explanation:

Step1: Recall the definition of relative extreme values

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

Step2: Analyze the graph

Point (a) is a relative minimum (function changes from decreasing to increasing before and after (a)). Point (b) is a relative maximum (function changes from increasing to decreasing before and after (b)). Point (c) is not a relative extreme value (the function is decreasing on both sides of (c) near (c)). So the number of relative extreme values is (2).