Question

determine the domain on which the following function is decreasing.

Explanation:

Step1: Recall function - decreasing property

A function is decreasing when the y - values decrease as the x - values increase.

Step2: Analyze the graph

Looking at the graph of the function, as we move from left to right, the function starts to decrease from the vertex of the parabola. The vertex of the parabola in the given graph has an x - value of 5. For x - values greater than 5, the y - values of the function are decreasing.

Answer:

$(5,\infty)$