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

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:

(-3, -4)

Explanation:

Step1: Recall turning - point concept

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

Step2: Analyze function behavior

For (x=-4) to (x = - 3), (f(x)) increases from (-6) to (-4). For (x=-3) to (x=-2), (f(x)) increases from (-4) to (-1). For (x=-2) to (x = - 1), (f(x)) decreases from (-1) to (-2). The function changes from increasing to decreasing around (x=-3). So, the point ((-3,-4)) is a possible turning point.