Question

Why is the range not all real numbers for this function: f(x)=sin^-1(x)

Answer 1

@ganeshie8 @campbell_st

Answer 2

the domain is restricted so that it is a function....

hence the restriction on the range

Answer 3

wait can you explain in it in a more thorough way

Answer 4

@campbell_st

Answer 5

well do you know the definition of a function...?

Answer 6

a relationship that involves one or more variables

Answer 7

@campbell_st

Answer 8

ok... so here is the graph



a simple test for a function is called the vertical line test, hopefully you have know it.

but a relationship is a function is a vertical line only cuts the curve in 1 place

if you curve us continued



the curve when extended to pi and -pi fails the vertical line test so its not a function....