Question

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

Explanation:

Step1: Recall the definition of relative minimum

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

Step2: Analyze the graph

Looking at the graph of \(y = f(x)\), we check each critical - like point. Point \(a\) is a relative maximum (function changes from increasing to decreasing). Point \(b\) is a point where the function changes from decreasing (to the left of \(b\)) to increasing (to the right of \(b\)). So, there is 1 point (\(b\)) that represents a relative minimum.

Answer:

1