Week 5 DQ 1 - slope so this is not a linear equation....

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1. What similarities and differences do you see between functions and linear equations studied in Ch. 3? A. Not all functions have to be linear equations, but all linear equations are functions. The functions we have studied include linear functions, and the similarity is that a function and a linear equation are both a function. Although, not all functions are linear, so the difference is that the functions and the linear equations have different shapes. 2. Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. A. All linear equations are functions, the only instance is when the equation is either x = k or y = k and k is the constant. A constant can never be the variable; therefore it is not a linear equation. This function does not have a slope, and each linear equation must have a
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Unformatted text preview: slope so this is not a linear equation. Although, all linear equations will meet the requirements which are having a slope, y intercept and will pass the vertical line test. As long as it passes the vertical line test, it is a function. 3. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate. A. Here is an example of a non-linear equation: = + + y x2 5x 4 Evaluate this function for the domains (inputs) of 2 and 5 Answers: Input 2, Output 18 Input 5, Output 54 4. Challenge your classmates by providing more intricate examples of nonlinear functions for them to solve. A. Here is a more intricate example: = + + √ y 2x 33x 2 x Evaluate this function for the domains (inputs) of 3 and -9...
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This note was uploaded on 04/20/2011 for the course MATH 116 taught by Professor Mcmillian during the Spring '09 term at University of Phoenix.

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