Question

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

Answer 1

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]}