Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 19

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0x. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 0), (1, 0), (2, 0), (3, 0), and (4, 0), showing how the y-value remains constant at 0 for all values of x.

Linear functions are essential in algebra as they represent relationships with a constant rate of change between variables. This collection of examples aids in teaching this topic by providing visual representations of various linear functions, enabling students to observe how changes in the equation affect both the graph and the table of values.

Exposing students to multiple worked-out examples is vital for a comprehensive understanding of linear functions. By examining special cases like this one, where the slope is 0, students can develop a deeper insight into how these components influence the function's behavior and recognize the connection between constant functions and horizontal lines.

Teacher's Script: Let's examine the function y = 0x. What's unique about this function? Notice that regardless of the x-value, y always equals 0. How does this affect our graph? Can you explain why we get a horizontal line along the x-axis? How does this relate to the concept of slope, and what does it mean for the rate of change in this function?

For a complete collection of math examples related to Linear Functions click on this link: Math Examples: Linear Functions in Tabular and Graph Form Collection.