Question

determine where f(x) is increasing and/or decreasing. increasing: select choice decreasing: select choice incorrect 1 try left. try once more

Explanation:

Step1: Recall the definition of increasing and decreasing functions

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

Step2: Analyze the graph

Looking at the graph, as we move from left - to - right on the x - axis, for $x\in(-\infty,0)$, as $x$ increases, the $y$ - values of the function are increasing. For $x\in(0,\infty)$, as $x$ increases, the $y$ - values of the function are decreasing.

Answer:

Increasing: $(-\infty,0)$; Decreasing: $(0,\infty)$