# What is the domain and range of f(x)=3^x?

Jul 1, 2017

See explanation.

#### Explanation:

The domain is the maximum subset of $\mathbb{R}$, for which the function's value can be calculated.
Any number can be an exponent of a power, so the domain is

$D = \mathbb{R}$

The range is the set of all values taken by the function.

If you rise $3$ to any real power, the result is always greater than zero, so the range is:

R=(0;+oo)