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

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Presentation transcript:

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

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 )

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

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

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

Identify: Linear or Nonlinear Graph?  linear  nonlinear

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

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

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.