What is the range of the graph of $y = sin x$ $y = sin x$ ?

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What is the range of the graph of $y = sin x$ $y = sin x$ ?

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Answer 1 · 2015-02-27T17:22:15

The domain of a function $f (x)$ $f(x)$ are all the values of $x$ $x$ for which $f (x)$ $f(x)$ is valid.

The range of a function $f (x)$ $f(x)$ are all the values which $f (x)$ $f(x)$ can take on.

$sin (x)$ $sin(x)$ is defined for all real values of $x$ $x$ , so it's domain is all real numbers.

However, the value of $sin (x)$ $sin(x)$ , its range , is restricted to the closed interval [-1, +1]. (Based on definition of $sin (x)$ $sin(x)$ .)

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What is the range of the graph of $y = sin x$ $y = sin x$ ?

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