Recognizing Functions Using the Vertical Line Test

This lesson teaches how to recognize functions using the vertical line test. It covers the definition of functions, representation through ordered pairs, mapping diagrams, and tables. The lesson explains discrete and continuous graphs, their domains, and ranges. It demonstrates the vertical line test to determine if a relation is a function, highlighting special cases and common misunderstandings, such as vertical and horizontal lines.

Explain the difference between discrete and continuous graphs.

What does the domain and range of a function represent?

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

How can you identify if a graph is a function using the vertical line test?

What happens if a vertical line intersects a graph at more than one point?

Discuss the significance of having exactly one output for every input in a function.

Why is every horizontal line considered a function?