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

1 Answer
May 10, 2017

See explanation.


The domain of a function is the maximal subset of #RR# for which the function's value can be calculated (is defined).

In this case the domain is #RR# 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]}