Determining Functions Using Tables and Graphs

This lesson teaches how to determine if relations are functions using tables and graphs. A function is defined as a relation where each input has exactly one output. The lesson uses examples, including a gumball machine analogy, to clarify misconceptions. Function notation is introduced, and the vertical line test is explained as a method to identify functions graphically. The lesson concludes by reinforcing the understanding of functions through tables and graphs.

What is the vertical line test and how is it used to determine if a graph is a function?

Describe a scenario where a relation is not a function based on the vertical line test.