Question

Question #7256d

Answer 1

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

Explanation:

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`.