Describe the domain and range of a logarithmic or exponential function.

Link to LOGARITHMIC FUNCTION section of online textbook.

Link to EXPONENTIAL FUNCTION section of online textbook.

First, watch this video to learn about the domain and range of logarithmic and exponential functions. These functions are highly related, which is why they are presented together. Here are their basic forms:

Alternative videos:

Graph Exponential functions.

Graph Logarithmic functions.

Like rational functions, the point is not on either logarithmic or exponential functions! Try changing some of the constants and see how it affects the graphs. You’ll want to figure out what the ”shifting point” is and how to describe the domain/range in general. Once you have something, try to check by doing the problems below.

Determine the domain of the exponential function below.

Determine the range of the exponential function below.

Determine the domain of the logarithmic function below.

Determine the range of the logarithmic function below.

Main takeaway: Before looking, you should work through the previous problems. Have you finished working through the examples?