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 the interval with \(x_1

Step2: Analyze the graph

Looking at the given graph, we start from the left - hand side (where \(x = 0\)) and move towards the right. The function rises (has a positive slope) from \(x = 0\) to \(x = 3\). After \(x = 3\), the function starts to fall (has a negative slope).

Answer:

The function is increasing on the interval \([0,3]\)