(New page: <math>y=e^x</math> <br> Image:linear.jpg 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. <mat...) |
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| + | ==Definition== | ||
| + | A function is linear if there is a single unique x that corresponds to each y. | ||
| + | |||
| + | ==Linear== | ||
<math>y=e^x</math> | <math>y=e^x</math> | ||
<br> | <br> | ||
[[Image:linear_ECE301Fall2008mboutin.jpg]] | [[Image:linear_ECE301Fall2008mboutin.jpg]] | ||
| − | This function is linear because for each y value has only one corresponding x | + | <br> |
| + | This function is linear because for each y value has only one corresponding x value. | ||
| + | ==Nonlinear== | ||
<math>y=x^4</math> | <math>y=x^4</math> | ||
<br> | <br> | ||
[[Image:nonlinear_ECE301Fall2008mboutin.jpg]] | [[Image:nonlinear_ECE301Fall2008mboutin.jpg]] | ||
| + | <br> | ||
| + | This function is not linear because for every y value there are two possible x values that could produce the same result. | ||
Latest revision as of 11:39, 12 September 2008
Definition
A function is linear if there is a single unique x that corresponds to each y.
Linear
$ y=e^x $
This function is linear because for each y value has only one corresponding x value.
Nonlinear
$ y=x^4 $
This function is not linear because for every y value there are two possible x values that could produce the same result.
