Question

based on the graph of f(x) below, which of the following statements is true about f(x)?

a. f(x) has a relative minimum at x = 2.2 and a relative maximum at x = - 0.2.
b. f(x) has a relative maximum at x = - 1.2 and a relative minimum at x = 1.2.
c. f(x) has a relative minimum at x = - 1.2 and a relative maximum at x = 1.2.
d. f(x) has a relative maximum at x = 2.2 and a relative minimum at

Explanation:

Step1: Understand relative maximum and minimum

A relative maximum is a point where the function changes from increasing to decreasing. A relative minimum is a point where the function changes from decreasing to increasing.

Step2: Analyze the graph

Looking at the graph, at \(x = - 1.2\), the function changes from increasing to decreasing (relative maximum). At \(x = 1.2\), the function changes from decreasing to increasing (relative minimum).

Answer:

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