(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) select the correct choice below and if necessary fill in the answer - box to complete your choice a. the function obtains a relative minimum at (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) select the correct choice below and if necessary fill in the answer - box to complete your choice a. the function obtains a relative minimum at (type an integer or a decimal.) b. there is no solution

Answer

Explanation:

Step1: Analyze the graph

By observing the given graph of the function, we look for the points where the function changes from decreasing to increasing (for relative - minimum) and from increasing to decreasing (for relative - maximum).

Step2: Locate relative minimum

From the graph, we can see that the function changes from decreasing to increasing at (x = 1). So the function has a relative minimum at (x = 1).

Step3: Locate relative maximum

The function changes from increasing to decreasing at (x=- 8). So the function has a relative maximum at (x=-8).

Step4: Find relative maximum value

The (y) - value of the function at the relative - maximum point ((-8,8)) is (y = 8).

Answer:

(a) A. The function obtains a relative minimum at (1) (b) The relative minimum value is the (y) - value at (x = 1). From the graph, when (x = 1), (y=-3) (c) The function obtains a relative maximum at (-8) (d) The relative maximum value is (8)