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A Geometric Approach to Linear Functions

There are three somewhat distinct topics in this article: the condition for linear functions to commute, a linear function as a transformation of the number line, and linear difference equations. A linear function \(y=f(x)=ax+b\) can be characterized in terms of slope and the “center of reflection,” both of which reflect the geometric property of the function.

Old Node ID: 
1533
Author(s): 
Jack E. Graver (Syracuse University)
Publication Date: 
Monday, April 2, 2007
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
November, 1995
Subject(s): 
Algebra and Number Theory
Linear Algebra
Linear Transformations
Geometry and Topology
Analytic Geometry
Lines
Topic(s): 
Linear Algebra
Geometry
Linear Transformation
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
14.00
Rating Sum: 
42.00
Rating Average: 
3.00
Author (old format): 
Jack E. Graver
Applicable Course(s): 
2.1 College Algebra
3.1 Mainstream Calculus I
Modify Date: 
Monday, April 2, 2007
Average: 3 (14 votes)

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