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

1 Answer
Daniel L.
May 10, 2017

See explanation.

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]}

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