Math Example--Function Concepts--Vertical Line Test--Example 2

Topic

Arithmetic

Description

This example illustrates a scatter plot where one vertical line intersects the graph at two points, indicating that the graph fails the vertical line test. The solution clearly identifies this violation and concludes that the graph is not a function.

The Vertical Line Test is an essential concept in determining whether a graph represents a function. By drawing vertical lines across the graph, one can assess if any vertical line intersects the graph more than once, indicating it is not a function. The examples in this collection provide a visual and interactive way for students to comprehend this concept.

By observing multiple worked-out examples, students are better equipped to understand the nuances of a mathematical concept. These examples not only clarify the procedure but also reinforce understanding through varied applications.

Teacher’s Script: Let's examine this graph together. Notice how we apply the Vertical Line Test by imagining or drawing vertical lines through the graph. In this example, this image shows a scatter plot where one vertical line intersects the graph at two points, indicating that the graph fails the vertical line test. The solution clearly identifies this violation and concludes that the graph is not a function. What does this tell us about whether this is a function?

For a complete collection of math examples related to Functions click on this link: Math Examples: Vertical Line Test Collection.