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

May 10, 2017

See explanation.

#### Explanation:

The domain of a function is the maximal subset of $\mathbb{R}$ for which the function's value can be calculated (is defined).

In this case the domain is $\mathbb{R}$ because all real numbers can be placed in an exponent of a power.

The range is (0;+oo).

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 (0;+oo).

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

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