Question

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

Answer 1

I'd say the domain is `(0,oo)` because I leave `0^0` undefined.
Others allow `0^0=1` so they would give domain `[0,oo)`.

Explanation:

Range.

I don't know how to find the range without calculus. The minimum value of `x^x` is `(1/e)^(1/e) = e^(-1/e) = e^((-e^-1))`.

Using graphing technology, we can see that the minimum is about `0.6922`