the graph of f(x) is shown. to the nearest integers, over what interval is f(x) decreasing?

Explanation:

Step1: Recall decreasing - function property

A function $y = f(x)$ is decreasing when as $x$ increases, $y$ decreases.

Step2: Observe the graph

Look at the graph of $y = f(x)$. Identify the part where the curve is going down - hill as we move from left to right.

Step3: Determine the interval

From the graph, we can see that the function is decreasing from $x = 0$ to $x= 2$.

Answer:

$0\leq x\leq2$