use the graph of the given function to find any relative maxima and relative minima.\n$f(x)=x^{3}-12x +…

use the graph of the given function to find any relative maxima and relative minima.\n$f(x)=x^{3}-12x + 2$\na. maximum: $(2,-14)$\nminimum: $(-2,18)$\nb. no maxima or minima\nc. maxima: $(-2,18)$ and $(0,0)$\nminimum: $(2,-14)$\nd. minimum: $(2,-14)$\nmaximum: $(-2,18)$

use the graph of the given function to find any relative maxima and relative minima.\n$f(x)=x^{3}-12x + 2$\na. maximum: $(2,-14)$\nminimum: $(-2,18)$\nb. no maxima or minima\nc. maxima: $(-2,18)$ and $(0,0)$\nminimum: $(2,-14)$\nd. minimum: $(2,-14)$\nmaximum: $(-2,18)$

Answer

Explanation:

Step1: Identify 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. Looking at the graph, at (x = - 2), the function changes from increasing to decreasing. The (y)-value at (x=-2) is (y = 18). At (x = 2), the function changes from decreasing to increasing. The (y)-value at (x = 2) is (y=-14).

Answer:

D. Minimum: ((2,-14)) Maximum: ((-2,18))