Question

determine all intervals on which the graph of ( f ) is increasing.

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 graph

Looking at the graph of \(y = f(x)\), we observe the following:

• The function is increasing when the graph rises as we move from left to right.
• From the graph, we can see that the function is increasing on the interval \((-2,1)\)

Answer:

The function \(f\) is increasing on the interval \((-2,1)\)