Question

What is the domain of the function e^sin(x) and the range?

Answer 1

Domain: all real `x`
Range: `1/e<=y<=e`

Explanation:

The domain of `sinx` is all real `x` `=>`domain of `e^sinx` is all real `x`

The maximum of `sinx` is `1` so the maximum of `e^sinx` is `e^1=e`

The minimum of `sinx` is `-1` so the minimum of `e^sinx` is `e^-1=1/e`