Question

question 8
the function graphed above is:
increasing on the interval(s)
decreasing on the interval(s)
question help:

Explanation:

Step1: Identify increasing interval

A function increases when its graph rises from left to right. Looking at the graph, it rises from the vertex at \(x=-1\) to the vertex at \(x=3\).
Interval: \((-1, 3)\)

Step2: Identify decreasing intervals

A function decreases when its graph falls from left to right. The graph falls from negative infinity to \(x=-1\), and from \(x=3\) to positive infinity.
Intervals: \((-\infty, -1)\) and \((3, \infty)\)

Answer:

Increasing on the interval(s): \((-1, 3)\)
Decreasing on the interval(s): \((-\infty, -1)\) and \((3, \infty)\)