which of the following most accurately identifies the relative maximum and minimum of the polynomial…

which of the following most accurately identifies the relative maximum and minimum of the polynomial function h(x)? (1 point) there is a relative maximum at x = - 1 and no relative minimum. there is a relative minimum at x = - 1 and a relative maximum at x = 0.25. there is a relative maximum at x = - 1.5 and a relative minimum at x = - 2. there is a relative maximum at x = - 1 and a relative minimum at x = - 0.25.

which of the following most accurately identifies the relative maximum and minimum of the polynomial function h(x)? (1 point) there is a relative maximum at x = - 1 and no relative minimum. there is a relative minimum at x = - 1 and a relative maximum at x = 0.25. there is a relative maximum at x = - 1.5 and a relative minimum at x = - 2. there is a relative maximum at x = - 1 and a relative minimum at x = - 0.25.

Answer

Explanation:

Step1: Recall relative - extrema definition

A relative maximum occurs where the function changes from increasing to decreasing, and a relative minimum occurs where the function changes from decreasing to increasing.

Step2: Analyze the graph

By observing the graph of the polynomial function, we can see that at (x = - 1), the function changes from increasing to decreasing, so there is a relative maximum at (x=-1). And there are no points where the function changes from decreasing to increasing in the visible part of the graph, so there is no relative minimum.

Answer:

There is a relative maximum at (x = - 1) and no relative minimum.