Question

the function is increasing when... (0, ∞) (0, 1.5) (-∞, -1.5) and (1.5, ∞) (-1.5, 1.5)

Explanation:

Step1: Recall increasing - function property

A function is increasing when its derivative is positive or when, visually on a graph, the function is rising as we move from left - to - right.

Step2: Analyze the graph

By observing the graph, we can see that the function is rising (going up as we move from left to right) for \(x\in(-\infty, - 1.5)\) and \(x\in(1.5,\infty)\).

Answer:

C. \((-\infty, - 1.5)\) and \((1.5,\infty)\)