SOLUTION: Question: What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Please create an equation of a nonlinear fu

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Question 179816: Question: What similarities and differences do you see between functions and linear equations?
Are all linear equations functions?
Please create an equation of a nonlinear function and provide two inputs to evaluate

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Linear equations or linear functions are a subset of functions.
Similarities are one unique output for each input and they are continuous by definition.
Yes, all linear equations are functions.
.
.
.
Linear equations take the form

There are many ways to make an equation non-linear.
The simplest may be to change the power of the x exponent.

or as an example,

So if I put in x=1,

and if I put in x=2,

Here's a graph of that non-linear function.

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