Identifying Functions by Analyzing Graphs

This lesson teaches how to identify functions by analyzing graphs. It covers the properties of functions, including whether a relation is a function, one-to-one, or has a constant rate of change. The lesson highlights common mistakes in plotting graphs, such as switching inputs and outputs. It explains how to determine if a graph represents a function, emphasizing that each input must have a unique output. The lesson also distinguishes between functions and one-to-one functions, noting that while a function can have shared outputs, a one-to-one function cannot. The session concludes with a recap of these concepts.

What indicates that a relation is not a function when looking at a graph?

Describe the characteristics of a function that is not one-to-one.