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 the behavior of the function around each critical - like point. At point \(b\), the function is decreasing to the left of \(b\) and increasing to the right of \(b\). There are no other points on the graph that satisfy the condition of a function changing from decreasing to increasing.

Answer:

\(1\)