a. for what value(s) of x does the function obtain a relative minimum? b. find the relative minimum value…

a. for what value(s) of x does the function obtain a relative minimum? b. find the relative minimum value. c. for what value(s) of x does the function obtain a relative maximum? d. find the relative maximum value. a. the function obtains a relative minimum at. (type an integer or a decimal.) b. there is no solution. b. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the relative minimum value is. (type an integer or a decimal.) b. there is no solution. c. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the function obtains a relative maximum at. (type an integer or a decimal.) b. there is no solution. d. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the relative maximum value is. (type an integer or a decimal.) b. there is no solution.

a. for what value(s) of x does the function obtain a relative minimum? b. find the relative minimum value. c. for what value(s) of x does the function obtain a relative maximum? d. find the relative maximum value. a. the function obtains a relative minimum at. (type an integer or a decimal.) b. there is no solution. b. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the relative minimum value is. (type an integer or a decimal.) b. there is no solution. c. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the function obtains a relative maximum at. (type an integer or a decimal.) b. there is no solution. d. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the relative maximum value is. (type an integer or a decimal.) b. there is no solution.

Answer

Explanation:

Step1: Identify relative minimum

A relative minimum occurs where the function changes from decreasing to increasing. From the graph, the function has a relative minimum at $x = - 1$.

Step2: Find relative - minimum value

The $y$-value at the relative - minimum point $x=-1$ is $y = - 2$.

Step3: Identify relative maximum

A relative maximum occurs where the function changes from increasing to decreasing. From the graph, the function has a relative maximum at $x=-7$.

Step4: Find relative - maximum value

The $y$-value at the relative - maximum point $x = - 7$ is $y = 7$.

Answer:

a. A. The function obtains a relative minimum at $-1$. b. A. The relative minimum value is $-2$. c. A. The function obtains a relative maximum at $-7$. d. A. The relative maximum value is $7$.