week 5 math DQ1

week 5 math DQ1 - linear equation such as y = x² is a...

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Post your response to the following: What similarities and differences 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. a function is an expression which, for any value of x, there exists one and only one value of y. A function can be either a straight line, (linear) or a curvy line, (non-linear). If you look at a linear equation graphically, you will see a straight line, so all linear equations are functions. A non-
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Unformatted text preview: linear equation, such as y = x², is a function, though not a straight line, because for any value of x there exists one and only one value of y. An example of a non-function would be y = ± x. In this case, for any value of y, there exists two values of x. Therefore, it is not a function. All linear equations are functions though because by definition linear equations are polynomials, and all polynomials are linear equations; however, a linear equation is NOT a function if it is degenerate. Here is a nonlinear function: f(x) = x^2 + x + 6 Inputs: f(2) and f(0) f(2) = 2^2 + 2 + 6 = 4 + 2 + 6 = 12 f(0) = 0^2 + 0 + 6 = 0 + 0 + 6 = 6...
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