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…

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

From the table, the function values change from positive to negative between $x=-2$ and $x = 0$. The function value at $x=-2$ is $0$ and at $x = 0$ is $-2$. Before $x=-2$, $f(x)$ is non - negative and after $x=-2$ it becomes negative. So, $(-2,0)$ is a possible turning point.

Answer:

$(-2,0)$