6
QuizMultiple Choice

Graphing Sine and Cosine — Quiz

Question 6 • Advanced Algebra: Concepts and Connections

What is the range of f of x is equal to sine of x ?

Answer
A
the set of all real numbers negative 1 is less than or equal to y comma y is less than or equal to 1
B
the set of all real numbers 0 is less than or equal to y comma y is less than or equal to 2 pi
C
the set of all real numbers negative 2 pi is less than or equal to y comma y is less than or equal to 2 pi
D
the set of all real numbers

Explanation

For every real value of x, the sine function can only produce values from −1 to 1, inclusive. It reaches −1 and 1, so both endpoints belong to its range. Therefore, the range is the set of y-values satisfying −1 ≤ y ≤ 1, which is choice B.

AI-written and checked against the verified answer.

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