Math Example--Function Concepts--Vertical Line Test--Example 5

Topic

Arithmetic

Description

This example illustrates a v-shaped graph. The task is to check its validity as a function using the vertical line test. The solution illustrates that all vertical lines cross the graph at only one point, verifying that it is 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 v-shaped graph. The task is to check its validity as a function using the vertical line test. The solution illustrates that all vertical lines cross the graph at only one point, verifying that it is 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.