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

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

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

Answer

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))