select the correct answer. which statement best describes the graphed function? o a. the function has a…

select the correct answer. which statement best describes the graphed function? o a. the function has a relative maximum at (-2,4) and a relative minimum at (2,-4) o b. the function has a relative minimum at (-2,4) and a relative maximum at (2,-4) o c. the function has an absolute maximum at (-2,4) and an absolute minimum at o d. the function has an absolute minimum at (-2,4) and an absolute maximum at

select the correct answer. which statement best describes the graphed function? o a. the function has a relative maximum at (-2,4) and a relative minimum at (2,-4) o b. the function has a relative minimum at (-2,4) and a relative maximum at (2,-4) o c. the function has an absolute maximum at (-2,4) and an absolute minimum at o d. the function has an absolute minimum at (-2,4) and an absolute maximum at

Answer

Explanation:

Step1: Identify relative and absolute extrema

Relative extrema are local maximum or minimum points. Absolute extrema are the overall maximum or minimum of the function over its entire domain.

Step2: Analyze the graph

The graph has a peak at the point (-2, 4) and a valley at the point (2, - 4). Since we don't know the full - domain of the function (if it extends infinitely in the x - directions), we can only say these are relative extrema. The point (-2, 4) is a relative maximum as the function value at this point is higher than the nearby points. The point (2, - 4) is a relative minimum as the function value at this point is lower than the nearby points.

Answer:

A. The function has a relative maximum at (-2,4) and a relative minimum at (2,-4)