Math Clip Art--Function Concepts--Properties of Functions 03

Topic

Functions

Description

This image depicts a graph of a linear function with the equation y = mx, illustrating a special case where the line passes through the origin.

The slope is clearly marked, and the y-intercept is noted as zero. This visual representation helps students understand the relationship between the equation form and the graph's appearance, particularly the significance of the absence of a constant term.

As part of the function properties collection, this image can be used to teach students about the special case of linear functions that pass through the origin. Teachers can use it to contrast with the previous image (y = mx + b) to show how the absence of the 'b' term affects the graph. This comparison helps students grasp the concept of y-intercept more deeply and understand its role in determining where a line crosses the y-axis.

The use of such math clip art is crucial in teaching functions as it provides a clear visual model for abstract concepts. It allows students to see the direct relationship between an equation and its graph, making the learning process more intuitive. This visual approach is particularly beneficial for students who struggle with algebraic representations, as it offers an alternative way to understand and remember key concepts.

Teacher's Script: "Now, let's look at this special linear function. Notice how it goes right through the point where our x and y axes meet -- we call this the origin. Why do you think this happens? Look at the equation y = mx. What's different about it compared to our previous equation? That's right, there's no 'b' term. When there's no 'b', our y-intercept is always zero, which means our line always passes through the origin. Can you think of any real-world situations where this type of function might be useful?"

For a complete collection of math clip art related to Functions click on this link: Properties of Functions Collection.