Math Example--Function Concepts--Vertical Line Test--Example 3

Topic

Arithmetic

Description

This example illustrates a continuous linear graph passing through several labeled points. the task is to verify the vertical line test. The solution shows that every vertical line crosses the graph at exactly one point, confirming it as 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 continuous linear graph passing through several labeled points. The task is to verify the vertical line test. the solution shows that every vertical line crosses the graph at exactly one point, confirming it as 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.