Question

determine the domain on which the following function is increasing.

Explanation:

Step1: Understand the concept of increasing function

A function \(y = f(x)\) is increasing on an interval if, for any two points \(x_1\) and \(x_2\) in that interval with \(x_1

Step2: Analyze the graph

Looking at the graph of the function, we observe the part of the curve where it is rising as \(x\) increases.
We can see that the function starts to rise (has a positive slope) from \(x=-3\) onwards.

Answer:

The function is increasing on the interval \((-3,\infty)\)