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 extreme value (either a relative maximum or a relative minimum) occurs at a point where the function changes from increasing to decreasing (relative maximum) or from decreasing to increasing (relative minimum).

Step2: Analyze the graph

Looking at the graph of \(y = f(x)\), we can see that there is a point \(D\) where the function changes from increasing to decreasing (a relative maximum) and a point \(B\) where the function changes from decreasing to increasing (a relative minimum).

Answer:

\(2\)