determine from the graph whether the function has any absolute extreme values on a, b. where do the absolute…

determine from the graph whether the function has any absolute extreme values on a, b. where do the absolute extreme values of the function occur on a, b? a. the absolute maximum occurs at x = d and there is no absolute minimum on a, b. b. the absolute maximum occurs at x = d and the absolute minimum occurs at x = a on a, b. c. there is no absolute maximum and there is no absolute minimum on a, b. d. there is no absolute maximum and the absolute minimum occurs at x = a on a, b.

determine from the graph whether the function has any absolute extreme values on a, b. where do the absolute extreme values of the function occur on a, b? a. the absolute maximum occurs at x = d and there is no absolute minimum on a, b. b. the absolute maximum occurs at x = d and the absolute minimum occurs at x = a on a, b. c. there is no absolute maximum and there is no absolute minimum on a, b. d. there is no absolute maximum and the absolute minimum occurs at x = a on a, b.

Answer

Explanation:

Step1: Understand absolute extreme values

Absolute maximum is the highest - point and absolute minimum is the lowest - point in the interval.

Step2: Analyze the graph

In the interval [a, b], the function has an open - circle at x = a, so it cannot be the absolute minimum. The function has a highest point at x = d (a closed - circle), so there is an absolute maximum at x = d. And since the function values keep decreasing towards the right - hand end of the interval and has an open - circle at x = b, there is no absolute minimum.

Answer:

A. The absolute maximum occurs at x = d and there is no absolute minimum on [a, b].