What is the domain and range of #F(x)=sqrtx #?

1 Answer
Jan 20, 2016

Answer:

It depends. The domain is in a sense user-defined.

Explanation:

Whoever who created this function chooses his own domain.

For example, if I made this function, I could define its domain to be #[4,9]#. In that case, the corresponding range would be #[2,3]#.

But what I think you are asking for is the largest possible domain of #F#. Any domain of #F# must be a subset of the largest possible domain.

The largest possible domain for #F# is #[0,oo)#.
The corresponding range is #[0,oo)#.