Question

determine the domain on which the following function is increasing.

Explanation:

Step1: Recall function increasing property

A function is increasing when the y - values increase as the x - values increase.

Step2: Observe the graph

Looking at the graph, we see that as x increases from the left - hand side until it reaches the vertex of the parabola - like curve.

Step3: Identify the x - values

The x - values start from the left of the graph and increase until approximately x = 6.

Answer:

The function is increasing on the domain $(-\infty,6)$ (assuming the vertex is at x = 6 based on the graph).