Question

determine the domain on which the following function is increasing.

Explanation:

Step1: Analyze the graph

For a parabola (quadratic function), if it opens upwards (as this one does), the function is decreasing to the left of the vertex and increasing to the right of the vertex.

Step2: Locate the vertex

From the graph, the vertex (the lowest point of the parabola) has an \(x -\) coordinate of \(1\).

Answer:

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