Question

What is the range of the graph of `y = sin x`?

Answer 1

The domain of a function `f(x)` are all the values of `x` for which `f(x)` is valid.

The range of a function `f(x)` are all the values which `f(x)` can take on.

`sin(x)` is defined for all real values of `x`, so it's domain is all real numbers.

However, the value of `sin(x)`, its range , is restricted to the closed interval [-1, +1]. (Based on definition of `sin(x)`.)