# What is the domain and range of #y=5^x#?

##### 1 Answer

May 10, 2017

See explanation.

#### Explanation:

The domain of a function is the maximal subset of

In this case the domain is

The range is

The values are all positive (if a positive number is raised to a power, the result cannot be negative), andthe value cannot be zero, so the range is

The domain and range can also be read on a graph:

graph{5^x [-12.66, 12.65, -6.33, 6.33]}