Question

1. domain: range:

Explanation:

Step1: Recall domain definition

The domain of a function is the set of all possible input values (x - values). Since the graph extends infinitely to the left and right, the domain is all real numbers.

Step2: Recall range definition

The range of a function is the set of all possible output values (y - values). Looking at the graph, the highest point of the wave is at y = 3 and the lowest is at y=- 3. So the range is all real numbers from - 3 to 3 inclusive.

Answer:

Domain: All real numbers, written as $(-\infty,\infty)$
Range: $[-3,3]$