Question

determine the domain on which the following function is increasing.

Explanation:

Step1: Recall increasing function definition

A function is increasing on an interval if, as \( x \) increases, \( y \) also increases. For a graph, this means the curve rises from left to right on that interval.

Step2: Analyze the graph's behavior

The graph starts at \( (0, 15) \) (since it's on the y - axis at \( x = 0 \)) and rises until it reaches its peak (the vertex of the parabola - like shape). From the graph, we can see that the peak occurs at \( x = 7 \) (by looking at the x - coordinate of the highest point). So, from \( x = 0 \) to \( x = 7 \), as \( x \) increases, \( y \) increases. After \( x = 7 \), the graph starts to decrease.

Answer:

The function is increasing on the domain \( [0, 7] \) (or \( 0\leq x\leq7 \))