x f(x) -4 -6 -3 -4 -2 -1 -1 -2 0 -5 1 -8 2 -16 which is a possible turning point for the continuous function…

x f(x) -4 -6 -3 -4 -2 -1 -1 -2 0 -5 1 -8 2 -16 which is a possible turning point for the continuous function f(x)? (-3, -4) (-2, -1) (0, -5) (1, -8)

x f(x) -4 -6 -3 -4 -2 -1 -1 -2 0 -5 1 -8 2 -16 which is a possible turning point for the continuous function f(x)? (-3, -4) (-2, -1) (0, -5) (1, -8)

Answer

Explanation:

Step1: Recall turning - point definition

A turning point of a continuous function is a point where the function changes from increasing to decreasing or vice - versa.

Step2: Analyze the function's trend

From (x=-4) to (x = - 2), (f(x)) is increasing ((f(-4)=-6), (f(-3)=-4), (f(-2)=-1)). From (x=-2) to (x = 1), (f(x)) is decreasing ((f(-2)=-1), (f(-1)=-2), (f(0)=-5), (f(1)=-8)).

Answer:

((-2,-1))