Question

the function graphed above is: increasing on the interval(s) decreasing on the interval(s) question help: video message instructor submit question jump to answer

Explanation:

Step1: Recall the definition of increasing and decreasing functions

A function \(y = f(x)\) is increasing on an interval if for any two points \(x_1\) and \(x_2\) in the interval with \(x_1

Step2: Analyze the graph

Looking at the graph:

• To find the increasing interval: We observe where the function is going up as we move from left - to - right. The function is increasing on the interval \((-2,2)\).
• To find the decreasing interval: We observe where the function is going down as we move from left - to - right. The function is decreasing on the intervals \((-\infty,-2)\) and \((2,\infty)\).

Answer:

Increasing on the interval(s): \((-2,2)\)
Decreasing on the interval(s): \((-\infty,-2)\cup(2,\infty)\)