Question

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

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 \(2\).

Answer:

\(2\)