Question

use the graph of y = f(x) to answer the questions. complete parts a through j. e. for what value(s) of x does f obtain a relative maximum? what are the relative maxima? select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. a. there is only one relative maxima. the maximum value is, and it occurs at x =. (type integers or fractions.) b. there are two relative maxima. the leftmost maximum value is, and it occurs at x =. the rightmost maximum value is, and it occurs at x =. (type integers or fractions.) c. there are three relative maxima. the leftmost maximum value is, and it occurs at x =. the central maximum value is, and it occurs at x =. the

Explanation:

Step1: Identify relative maxima points

A relative maximum is a point where the function changes from increasing to decreasing. Looking at the graph of \(y = f(x)\), we can see that the function has two such points.

Step2: Determine the coordinates of relative maxima

The left - most relative maximum occurs at the point \((- 6,5)\) and the right - most relative maximum occurs at the point \((6,5)\).

Answer:

B. There are two relative maxima. The leftmost maximum value is 5, and it occurs at \(x=-6\). The rightmost maximum value is 5, and it occurs at \(x = 6\).