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 of a function 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 point. Point \(b\) is a point where the function changes from decreasing (to the left of \(b\)) to increasing (to the right of \(b\)). There are no other points on the graph that satisfy the condition of a relative minimum (point \(d\) is a relative maximum).

Answer:

\(1\)