Question

question
determine the domain on which the following function is decreasing.

Explanation:

Step1: Understand the concept of 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, we can observe that after the vertex (the highest point of the parabola - like graph), the function starts to decrease. The \( x\) - coordinate of the vertex is at \( x = 7\). As \( x\) increases beyond \( 7\), the \( y\) - values of the function decrease.

Answer:

The function is decreasing on the interval \( (7,\infty)\)