question 3 of 5\nwhich statement best describes the graphed function?\na. the function has a relative…

question 3 of 5\nwhich statement best describes the graphed function?\na. the function has a relative maximum at (-2,4) and a relative minimum at (2,-4).\nb. the function has a relative minimum at (-2,4) and a relative maximum at (2,-4).\nc. the function has an absolute maximum at (-2,4) and an absolute minimum at (2,-4).\nd. the function has an absolute minimum at (-2,4) and an absolute maximum at (2,-4).

question 3 of 5\nwhich statement best describes the graphed function?\na. the function has a relative maximum at (-2,4) and a relative minimum at (2,-4).\nb. the function has a relative minimum at (-2,4) and a relative maximum at (2,-4).\nc. the function has an absolute maximum at (-2,4) and an absolute minimum at (2,-4).\nd. the function has an absolute minimum at (-2,4) and an absolute maximum at (2,-4).

Answer

Answer:

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

Explanation:

Step1: Identify relative extrema

Relative maximum is a point higher than nearby points. Here (-2,4) is such a point.

Step2: Identify relative minimum

Relative minimum is a point lower than nearby points. Here (2,-4) is such a point.

Step3: Analyze absolute extrema

The graph extends infinitely up - ward and downward, so no absolute maximum or minimum. Thus, it has relative extrema as described in option A.