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) About Me  (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.
.
.
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Linear equations take the form
y=mx%2Bb
There are many ways to make an equation non-linear.
The simplest may be to change the power of the x exponent.
y=mx%5E2%2Bb
or as an example,
y=2x%5E2-1
So if I put in x=1,
y=2%281%29-1=1
and if I put in x=2,
y=2%284%29-1=7
Here's a graph of that non-linear function.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-2%2C+8%2C+2x%5E2-1%29+