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

which is a possible turning point for the continuous function f(x)?\n(-2, 0)\n(0, -2)\n(2, -1)\n(4, 0)\n\nx\tf(x)\n-6\t8\n-4\t2\n-2\t0\n0\t-2\n2\t-1\n4\t0\n6\t4

which is a possible turning point for the continuous function f(x)?\n(-2, 0)\n(0, -2)\n(2, -1)\n(4, 0)\n\nx\tf(x)\n-6\t8\n-4\t2\n-2\t0\n0\t-2\n2\t-1\n4\t0\n6\t4

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 the given data

The function values change as follows: from (x=-6) to (x = - 4), (f(x)) decreases from (8) to (2), from (x=-4) to (x=-2), (f(x)) decreases from (2) to (0), from (x=-2) to (x = 0), (f(x)) decreases from (0) to (-2), from (x = 0) to (x=2), (f(x)) increases from (-2) to (-1), from (x = 2) to (x=4), (f(x)) increases from (-1) to (0), from (x = 4) to (x=6), (f(x)) increases from (0) to (4). The change from decreasing to increasing occurs around (x = 0).

Answer:

((0,-2))