Question

What is the domain and range of `y=4^x`?

Answer 1

Domain: All Real values
Range: All Real values greater than zero.

Explanation:

`4^x` is defined for all Real values of `x`
`color(white)("XXX")`Domain(`x`) `=RR`

`y=4^x` approaches `0` as `xrarr-oo`
`color(white)("XXX")`and approaches `+oo` as `xrarr+oo`
It is continuous in this range (takes on all possible values).
Therefore Range(`y`) `=(0,+oo) in RR`