Question

enter the interval(s) where the graph is increasing.
interval 1:
interval 2: (if there is no second interval, write
one\)

Explanation:

Step1: Recall the definition of an increasing function

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 given graph

Looking at the graph:

• From \(x=-6\) to \(x = - 3\), the function is decreasing (it goes from a high point downwards).
• From \(x=-3\) to \(x = 1\), the function is increasing (it goes from a low point upwards).
• From \(x = 1\) to \(x=4\), the function is decreasing (it goes from a high point downwards).

Answer:

Interval 1: \((-3,1)\)
Interval 2: none