13
practice testMultiple Choice

Practice Test

Question 13 • Precalculus

Based on the graph, what are the domain and range of the sine function?

Answer
A
domain: left bracket negative 1 comma 1 right bracket ; range: left bracket 0 comma 2 pi right bracket
B
domain: open paren negative infinity comma infinity close paren ; range: left bracket negative 1 comma 1 right bracket
C
domain: left bracket 0 comma 2 pi right bracket ; range: left bracket negative 1 comma 1 right bracket
D
domain: left bracket negative 1 comma 1 right bracket ; range: open paren negative infinity comma infinity close paren

Explanation

The sine function, y = sin(x), is defined for every real input x, so its domain is (−∞, ∞). Its outputs never go below −1 or above 1, and it reaches both values, so its range is [−1, 1]. Therefore, the correct choice is “domain: (−∞, ∞); range: [−1, 1].”

AI-written and checked against the verified answer.

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