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\n|…

Explanation:

Step1: Recall turning - point definition

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 $x = 0$ to $x=6$ ($-2\rightarrow - 1\rightarrow0\rightarrow4$).

Answer:

$(0, - 2)$