Question #7256d

1 Answer
Aug 4, 2016

Answer:

#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#.