WK5 DQ1 - The first coordinate (abscissa) in a linear...

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WK5 DQ1 Due Date: Week Five, Day 2 [post to the Main forum] 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. Find examples that support or refute your classmates’ answers to the discussion question. Provide additional similarities and differences between functions and linear equations. Challenge your classmates by providing more intricate examples of nonlinear functions for them to solve. Similarities between functions and linear equations are: In much the same way that ordered pairs form correspondences between the first and second coordinates, a function is a correspondence from one set to another.
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Unformatted text preview: The first coordinate (abscissa) in a linear equation corresponds to the domain in a function. The second coordinate (ordinate) in a linear equation corresponds to the range in a function. Differences between functions and linear equations are: Linear equations are straight lines were as functions can curve. A vertical line can be a linear equation, but not a function. No, all linear equations are not functions. If the linear equation is a vertical line as in x = 4 it is not a function. The instance when a linear equation is not a function is if it does not pass the vertical line test. If it is possible for a vertical line to cross a graph more than once, then the graph is not the graph of a function. A Nonlinear function with two inputs for the class to evaluate: f(x) = 5 - x f(x) = 0, 5, -7...
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