Question

determine the intervals for which the function shown below is decreasing.

Explanation:

Step1: Recall decreasing - function property

A function $y = f(x)$ is decreasing when its slope is negative. On a graph, as $x$ increases, $y$ decreases.

Step2: Analyze the graph

Look at the given graph of the function. Identify the intervals where the curve is going down as we move from left - to - right.

Step3: Determine the intervals

From the graph, we can see that the function is decreasing on the intervals $x\in(0,2)$ and $x\in(4,\infty)$.

Answer:

The function is decreasing on the intervals $(0,2)$ and $(4,\infty)$.