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Linear and Nonlinear Functions Identifying functions on tables, graphs, and equations. Irma Crespo 2010

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Warm Up Graph y = 2x + 1 Rewrite the linear equation 3y + x = 9 to its slope-intercept form or the y = form. What is the linear equation for this graph?

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Compare and Contrast Yards to Feet Number of Feet Number of Yards Yards to Square Yards Length of a Side of a Square Yard Area of Square (yd 2 )

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Tables: Linear or Nonlinear linear nonlinear xy xy Is the rate of change constant (the same)?

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Identify: Linear or Nonlinear Table? xy x0246 y02818 linear nonlinear

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Graphs: Linear or Nonlinear Is the graph a straight line? linear nonlinear

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Identify: Linear or Nonlinear Graph? linear nonlinear

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Equations: Linear or Nonlinear REMEMBER: x 1 = x and x 0 = 1 In y = form, is x raised to a power of 1 or 0? Does x appear in the numerator? y = x + 4 y = 6/x y = 4 y = x y = ½ x linear nonlinear linear nonlinear linear

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Identify:Linear or Nonlinear Equation? y = 2/x + 5y = x 2 + 8y =.6x 1 y = + 1 3x 2 linear nonlinear

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Pointers to Keep in Mind A graph is linear if it is a straight line. A table is linear if the rate of change is constant. There is a common difference. An equation is linear if the power of x is either 1 or 0 and it appears in the numerator.

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Exit Slip Identify if linear or nonlinear. 1.Table A 2.Graph 3.Equation x36912 y 1086 abc y = x

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Complete the practice worksheet. Work with a partner or on your own. Submit completed worksheet for grading. Solutions are discussed the next day. Practice Worksheet

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Main Resources Day, et.al. (2009). Math Connects: Concepts, Skills, and Problem Solving. Chapter 10. Columbus:McGraw-Hill. PowerPoint created by Irma Crespo. University of Michigan-Dearborn, School of Education. Winter 2010.

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