Question

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

Explanation:

Step1: Recall relative - extreme definition

A relative extreme (either a relative maximum or a relative minimum) occurs where the function changes from increasing to decreasing (relative maximum) or from decreasing to increasing (relative minimum). Visually, at a relative maximum, the graph has a peak, and at a relative minimum, the graph has a valley.

Step2: Analyze the given graph

The function $y = f(x)$ has a peak at the point $b$. The function is increasing to the left of $b$ and decreasing to the right of $b$. There are no valleys in the given graph.

Answer:

1