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Question 176408: What similarities and differences do you see between functions and linear equations Are all linear equations functions? Is there an instance in which 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.
Answer by Mathtut(3670)   (Show Source):
You can put this solution on YOUR website! functions map inputs to unique outputs. A polynomial function of the first degree, such as y = 2x + 1, is called a linear function
All linear equations are functions with the exception of one type--
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Use the vertical line rule to see if an equation is a function or not. If a vertical line intersects a plot at more than one point, the equation is NOT a function.
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So, there is a linear equation that is not a function. Using the vertical line rule we conclude that a vertical itself is not a function. Maybe it would be easier to look at this from another definition of function. There is one and only one y value for each value of x. For x=a, there is infinite values of y. Thus a vertical line is not a function.
nonlinear function f(x) = x^2-1
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