I'm stuck on this question, for two reasons. Firstly, I don't know what it's asking, and secondly, because I doubt I can show what is being asked.

1) Show that there is at least one function exp: → R^+ so that

i) exp(x+y) = exp(x)*exp(y), x and y ∈ R

ii) 1 + X <= exp(x), x ∈ R

2) Using i) and ii) show that the function exp is monotonic strictly increasing.

Help would be greatly appreciated.