Distinguishing Linear and Exponential Functions Using Function Tables

This lesson teaches how to distinguish between linear and exponential functions by examining function tables. Linear functions show equal differences between outputs, while exponential functions show equal factors. The video addresses common misunderstandings, such as the meaning of equal intervals and the correct use of exponents. It provides examples of identifying both linear and exponential functions, including cases with decreasing outputs and negative numbers.

What is the main difference between a linear function and an exponential function?

How can you determine if a function table represents a linear function?

Explain how to identify an exponential function using a function table.

What does it mean when we say there are equal differences in a function table?

Describe the process of constructing a function table for an exponential function.

What common misunderstandings might occur when completing a function table?

How can negative numbers in a function table affect the classification of the function?