# Math 116

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What similarities and differances do you see between functions and linear equations studied in Ch.3? are all linear equations functions? is there an instance when a linear equation is not a function? support your answer. create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

• Math 116 -

A "function" is a way of computing one number when you are given another. Linear equations with two variables define a such a functional relationship. Each of the two variables is a linear function of the other.

However, when you write an equation, linear or not, you are not always defining a function.

x + y = 14 is an equation, not a function, but can be used to derive the linear functions:
y = 14 - x and x = 14 - y

An example of nonlinear funtion is
y = 4 x^2

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