Is $F:R\to[0, ∞)$ where $F(x) = e^x$ a bijection?
For a function to be surjective, the function must hit all elements belonging to the CODOMAIN (Which is $[0,∞)$ right?) or does it simply have to hit all possible values of elements that can be received after plugging in any value from the domain.
I think as I'm writing this out instead of trying to figure it out in my mind it's making more sense.
A function is surjective if, for any value of the domain(R) substituted into the function, a value of $[0,∞)$ must be the result am I correct, and ALL VALUES MUST BE HIT.
Sorry about the stream-of-though-esque articulation.. :(