Question

question 25
the function graphed above is:
increasing on the interval(s)
decreasing on the interval(s)

Explanation:

Step1: Understand increasing and decreasing intervals

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

• Look at the left - hand side of the local maximum. The function is increasing before the local maximum. From the graph, we can see that the function is increasing on the interval \((-\infty,-2)\) (left - hand side of the local maximum) and also increasing on the interval \((1,\infty)\) (right - hand side of the local minimum).
• Look at the part of the graph between the local maximum and the local minimum. The function is decreasing on the interval \((-2,1)\)

Answer:

Increasing on the interval(s): \((-\infty,-2)\cup(1,\infty)\)
Decreasing on the interval(s): \((-2,1)\)