Question

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

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 trend of the function

As \(x\) goes from \(-4\) to \(-2\), \(f(x)\) is increasing (\(-6\) to \(-1\)). As \(x\) goes from \(-2\) to \(2\), \(f(x)\) is decreasing (\(-1\) to \(-16\)). The function changes its trend at \(x=-2\).

Answer:

\((-2,-1)\)