Question

brandon was asked to identify the relative maximum of the polynomial function h(x). which answer choice identifies the correct value(s)?
there is no relative maximum in this graph.
there is a relative minimum at x = - 1
there is a relative maximum at x = 2
there is a relative maximum at x = 0

Explanation:

Step1: Recall relative - maximum definition

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

Step2: Analyze the graph

By observing the graph of the polynomial function \(h(x)\), we look for peaks. We see that the function changes from increasing to decreasing at \(x=-2\).

Answer:

There is a relative maximum at \(x = - 2\)