based on the graph of f(x) below, which of the following statements is true about f(x)?\na. f(x) has a…

based on the graph of f(x) below, which of the following statements is true about f(x)?\na. f(x) has a relative minimum at x = -1.2 and a relative maximum at x = 1.2.\nb. f(x) has a relative minimum at x = 2.2 and a relative maximum at x = -0.2.\nc. f(x) has a relative maximum at x = -1.2 and a relative minimum at x = 1.2.\nd. f(x) has a relative maximum at x = 2.2 and a relative minimum at x = -0.2.

based on the graph of f(x) below, which of the following statements is true about f(x)?\na. f(x) has a relative minimum at x = -1.2 and a relative maximum at x = 1.2.\nb. f(x) has a relative minimum at x = 2.2 and a relative maximum at x = -0.2.\nc. f(x) has a relative maximum at x = -1.2 and a relative minimum at x = 1.2.\nd. f(x) has a relative maximum at x = 2.2 and a relative minimum at x = -0.2.

Answer

Explanation:

Step1: Recall relative - extrema definition

A relative maximum occurs where the function changes from increasing to decreasing, and a relative minimum occurs where the function changes from decreasing to increasing.

Step2: Analyze the graph

Looking at the graph of (F(x)), we can see that the function reaches a high - point (changes from increasing to decreasing) at (x=- 1.2), so there is a relative maximum at (x = - 1.2). The function reaches a low - point (changes from decreasing to increasing) at (x = 1.2), so there is a relative minimum at (x=1.2).

Answer:

C. (F(x)) has a relative maximum at (x = - 1.2) and a relative minimum at (x = 1.2)