Question

determine the domain on which the following function is increasing.

Explanation:

Step1: Analyze the graph

A function is increasing when, as \(x\) increases, \(y\) also increases. For a parabola (which this graph appears to be), we look at the vertex. The vertex of this parabola is at \(x = 1\).

Step2: Determine the increasing interval

To the right of the vertex (since the parabola opens upwards), the function is increasing. So, for \(x>1\), as \(x\) increases, \(y\) increases.

Answer:

The function is increasing on the domain \((1,\infty)\)