Question #7256d

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Answer 1 · 2016-08-04T11:07:15

$f(x) in [-1,1]$

As you know, the range of the function

$f(x) = sinx$

is limited to values that are greater than or equal to $-1$ and smaller than or equal to $1$ .

graph{sinx [-10, 10, -1.5, 1.5]}

This means that regardless of the value of $x$ you plug into the function, the output must always satisfy these two conditions

$f(x) >= -1" "$ and $" "f(x) <= 1$

In interval notation, the range of the function is any real number that is part of the interval

$f(x) in [-1, 1]$

Here the left bracket symbolizes $f(x) >=-1$ and the right bracket symbolizes $f(x)<=1$ .