Question

determine the domain on which the following function is increasing.

Explanation:

Step1: Recall increasing - function property

A function is increasing when the y - values increase as the x - values increase. On a graph, this means the slope of the tangent line to the curve is positive.

Step2: Analyze the given graph

Looking at the graph, we see that as x moves from 0 to 3, the y - values of the function are getting larger.

Answer:

The function is increasing on the interval $[0,3]$.