Answer:
False
Step-by-step explanation:
Image (graph) of y = Sinx is attached.
First, lets understand domain and range.
Domain is the set of all x-values for which a function is defined (x axis).
Range is the set of all y-values for which a function is defined (y axis).
We are said that range of y = Sin x is the set of all real numbers.
If we look at the graph and look at the y-values for which the function is defined, we see that the Sin Curve oscillates between y = -1 and y = 1.
So the range would be:
[tex]-1 \leq y \leq 1[/tex]
It is not defined for other values, certainly not for ALL REAL NUMBERS!
So, this statement is false.
