Question

determine the domain on which the following function is decreasing.

Explanation:

Step1: Understand the concept of a decreasing function

A function \(y = f(x)\) is decreasing on an interval if for any two points \(x_1\) and \(x_2\) in that interval with \(x_1

Step2: Analyze the given graph

Looking at the graph of the function, we observe that after reaching the vertex (the highest point of the graph), the function starts to decrease.
The vertex of the graph occurs at \(x = 4\). As we move from \(x = 4\) to \(x=9\) (where the function touches the \(x\) - axis), for any \(x_1,x_2\) such that \(4\leq x_1

Answer:

The function is decreasing on the interval \([4,9]\)