similarities and differences between the functions and linear equations
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What similarities and differences do you see between the 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.
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Solution Summary
The similarities and differences between the functions and linear equations are identified clearly.
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Linear equations "Ax + By = C" can be written as: "y = mx + b"
Written this way, y is a function of x. y = f(x).
Functions by definition are expressions y = f(x), or substitute any dummy input variable and output variable such as z = g(t), with the constraint "A function assigns exactly one value to each input of a specified type." (wiki on functions).
Most linear equations are indeed special cases of functions. ...
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