## Linear Function Behavior (LFB)

Lines through the origin are peculiar in that they have an expression of the form , where is a constant (the slope). This formula makes possible the following additive" property:

For the particular choices of and , we would have

Despite students' tendancies to treat every function as additive, other functions just do not have this property. Typical mistakes made include:

Top Algebra Errors Made by Calculus Students (full document)