Question

determine the domain on which the following function is decreasing.

Explanation:

Step1: Analyze the graph

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

Step2: Identify the interval

Looking at the parabola (since it's a U - shaped graph, a quadratic function), the left - hand side of the vertex is where the function is decreasing. The vertex of the parabola has an \(x\) - coordinate of \(1\).

Answer:

\((-\infty,1)\)