Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 21

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0 * x + 4. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 4), (1, 4), (2, 4), (3, 4), and (4, 4), showing how the y-value remains constant at 4 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 and there's a positive y-intercept, students can develop a deeper insight into how these components influence the function's behavior and recognize different forms of constant functions.

Teacher's Script: Let's examine the function y = 0 * x + 4. What's unique about this function? Notice that regardless of the x-value, y always equals 4. How does this affect our graph? Can you explain why we get a horizontal line 4 units above the x-axis? How does this example compare to the previous two constant functions we've seen? What generalizations can we make about functions in the form y = 0x + b?

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.