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7. domain: ( ) ( ) range: ( ) ( )

Question

  1. domain: ( ) ( ) range: ( ) ( )

Explanation:

Step1: Identify domain concept

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 along the x - axis, the domain is all real numbers. In interval notation, this is $(-\infty,\infty)$.

Step2: Identify range concept

The range of a function is the set of all possible output - values (y - values). By observing the graph, the highest y - value is 3 and the lowest y - value is - 3. So the range is $[-3,3]$.

Answer:

Domain: $(-\infty,\infty)$
Range: $[-3,3]$