Question

determine the domain on which the following function is decreasing.

Explanation:

Step1: Identify decreasing interval

A function decreases when, as $x$ increases, $y$ decreases. Locate the peak of the curve at $x=5$, then observe the curve falls from this peak to the right endpoint at $x=14$.

Step2: Define the domain interval

The function starts decreasing at $x=5$ and stops decreasing at $x=14$ (the rightmost point of the graph).

Answer:

The function is decreasing on the interval $(5, 14)$ or $5 < x < 14$