what are the domain and range of the piecewise function below?

Answer:

Domain: $(-\infty, \infty)$; Range: $(-\infty, 9]$

Explanation:

Step1: Identify domain from graph

The graph extends infinitely left - right. So domain is all real numbers, $(-\infty, \infty)$.

Step2: Identify range from graph

The highest $y$ - value is 9 (at the left - most part of the graph) and it extends infinitely downwards. So range is $(-\infty, 9]$.