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A function is linear if there is a single unique x that corresponds to each y.
 
<math>y=e^x</math>
 
<math>y=e^x</math>
 
<br>
 
<br>
 
[[Image:linear_ECE301Fall2008mboutin.jpg]]
 
[[Image:linear_ECE301Fall2008mboutin.jpg]]
 
<br>
 
<br>
This function is linear because for each y value has only one corresponding x value, and each x value has only one corresponding y value.
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This function is linear because for each y value has only one corresponding x value.
  
 
<math>y=x^4</math>
 
<math>y=x^4</math>

Revision as of 11:37, 12 September 2008

A function is linear if there is a single unique x that corresponds to each y. $ y=e^x $
Linear ECE301Fall2008mboutin.jpg
This function is linear because for each y value has only one corresponding x value.

$ y=x^4 $
Nonlinear ECE301Fall2008mboutin.jpg
This function is not linear because for every y value there are two possible x values that could produce the same result.

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett