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

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) x f(x) -4 -6 -3 -4 -2 -1 -1 -2 0 -5 1 -8 2 -16

Answer

Answer:

B. (-2, -1)

Explanation:

Step1: Understand turning - point concept

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

Step2: Analyze function trend

For (x=-4) to (x = - 3), (f(x)) increases from (-6) to (-4). From (x=-3) to (x=-2), (f(x)) increases from (-4) to (-1). From (x=-2) to (x=-1), (f(x)) decreases from (-1) to (-2). So, the point ((-2,-1)) is where the function changes from increasing to decreasing, which is a possible turning point. Other points do not show such a change in the trend of the function.