Question

determine the domain on which the following function is increasing.

Explanation:

Step1: Identify the start point

The function starts at \( x = 0 \) (the left endpoint) and increases until it reaches the vertex.

Step2: Find the vertex's x - coordinate

From the graph, the vertex (the peak) occurs at \( x = 3 \). So the function is increasing when \( x \) is in the interval from the left endpoint (\( x = 0 \)) to the x - coordinate of the vertex (\( x = 3 \)).

Answer:

The function is increasing on the interval \([0, 3]\)