Question

which is a possible turning point for the continuous function $f(x)$?

Explanation:

Step1: Understand the concept of a turning point

A turning point of a continuous function is a point where the function changes from increasing to decreasing or vice - versa.

Step2: Analyze the function values

• For \(x=-6\) to \(x = 2\), the function values \(f(x)\): \(8\to2\to0\to - 2\to-1\) are generally decreasing (with some non - increasing behavior).
• For \(x = 2\) to \(x=6\), the function values \(f(x)\): \(-1\to0\to4\) are increasing.

Since at \(x = 2\), the function changes from a non - increasing (or decreasing) trend to an increasing trend.

Answer:

\((2,-1)\)