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

which is a possible turning point for the continuous function f(x)?\n(-3, -4)\n(-2, -1)\n(0, -5)\n(1, -8)\n\nx f(x)\n-4 -6\n-3 -4\n-2 -1\n-1 -2\n0 -5\n1 -8\n2 -16

which is a possible turning point for the continuous function f(x)?\n(-3, -4)\n(-2, -1)\n(0, -5)\n(1, -8)\n\nx f(x)\n-4 -6\n-3 -4\n-2 -1\n-1 -2\n0 -5\n1 -8\n2 -16

Answer

Explanation:

Step1: Recall turning - point concept

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

Step2: Analyze function values

As (x) increases from (-4) to (-3), (f(x)) increases from (-6) to (-4). As (x) increases from (-3) to (-2), (f(x)) increases from (-4) to (-1). As (x) increases from (-2) to (-1), (f(x)) decreases from (-1) to (-2). So the function changes from increasing to decreasing at (x=-2).

Answer:

((-2, - 1))