Question

What is the domain and range of `y=Arc sin x`?

Answer 1

`D = {xepsilonR | -1 <= x <= 1}`
`R = {yepsilonR | -pi/2<= y <= pi/2}`

The domain is restricted as `y=sinx` doesn't pass the horizontal line test.

Explanation:

graph{y=arcsinx [-10, 10, -5, 5]}

You can tell from the graph that this is the domain and range. You must note that `+-pi/2` were memorized values or properties of the `y=arcsinx` function.