Question

determine the domain on which the following function is decreasing.

Explanation:

Step1: Analyze the graph's trend

A function is decreasing when, as \(x\) increases, \(y\) decreases.

Step2: Identify the interval

Looking at the graph, from \(x = -\infty\) to \(x = 3\), as \(x\) increases, \(y\) decreases. But since we consider the domain (set of all \(x -\)values for which the function is defined), and from the graph's visible part (assuming standard grid - like domain consideration for such a polynomial - like graph), we can see that for \(x\in(-\infty,3)\), the function is decreasing.

Answer:

\((-\infty,3)\)