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Question 150791: 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.
Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website! functions map inputs to unique outputs.
Linear equations can be functions -- and most times are functions.
Use the vertical line rule to see if an expression is a function. If a vertical line intersects a plot at more than one point, the expression is NOT a function.
So, is there a linear equation that is not a function? Use the vertical line rule.Is there a line that intersects a vertical line at more tan one point? of course, the vertical line itself.
nonlinear function f(x) = x^2
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