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…

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 f(x)\n-6 8\n-4 2\n-2 0\n0 -2\n2 -1\n4 0\n6 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 f(x)\n-6 8\n-4 2\n-2 0\n0 -2\n2 -1\n4 0\n6 4

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

The function values are (f(-6)=8), (f(-4) = 2), (f(-2)=0), (f(0)=-2), (f(2)=-1), (f(4)=0), (f(6)=4). The function is decreasing from (x=-6) to (x = 0) ((8\rightarrow2\rightarrow0\rightarrow - 2)) and then starts increasing from (x = 0) ((-2\rightarrow - 1\rightarrow0\rightarrow4)).

Answer:

((0,-2))