Question

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

Explanation:

Step1: Recall the definition of a relative minimum

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

Step2: Analyze the given graph

Looking at the graph of \(y = f(x)\), we check each critical point. Point \(b\) is a relative maximum (function changes from increasing to decreasing). Point \(d\) is the only point where the function changes from decreasing to increasing.

So, there is \(1\) point (point \(d\)) that represents a relative minimum.

Answer:

\(1\)