Answer is in the attachment below.
-1<f(x)<1
The range of the function f ( x ) = sin ( arctan ( x )) is ( − 1 , 1 ) . This means that the function can take any value between -1 and 1, but never actually reach -1 or 1. The sine function limits the values that f ( x ) can take based on the output of arctan ( x ) .
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