# 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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File Content:
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