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Linear

Page history last edited by PBworks 12 years, 4 months ago

Linear Function

 

Definition:

A linear function is a polynomial of degree one.  The graph of a linear function is a straight line.  The rate of change of a linear function is called the slope of the function.  In a linear function, the average and instantaneous rate of change are always the same.  

 

Formula for a Linear Function:

General Form: Formula

 

Slope-Intercept Form: Formula

 

Point-Slope Form: Formula

 

Two-Point Form:  Formula

 

Linear Function Photo:

 

Mr. Lee's Example Photo

 

 

 

Photo Description: This is a picture of the Chapel Bridge in Lucern, Switzerland that I took while on vacation.  The roof of this footbridge, originally constructed in 1333, can be modeled by a linear function.  I set the origin at the base of the stone tower.  Given this somewhat arbitrary origin, the roof of the bridge could be modeled by the function y = 0.25x + 2.

 

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