Question

the function graphed above is: increasing on the interval(s) decreasing on the interval(s) submit question close

Explanation:

Step1: Recall increasing - decreasing function rules

A function is increasing when the y - values increase as the x - values increase, and decreasing when the y - values decrease as the x - values increase.

Step2: Analyze the graph

Looking at the graph, as we move from left - to - right, the function is increasing on the intervals where the curve goes up. The function is decreasing on the intervals where the curve goes down.
If we assume the key points on the x - axis are around \(x=-1\) and \(x = 1\):
The function is increasing on the intervals \((-\infty,-1)\) and \((1,\infty)\).
The function is decreasing on the interval \((-1,1)\).

Answer:

Increasing intervals: \((-\infty,-1)\) and \((1,\infty)\); Decreasing interval: \((-1,1)\)