1. Linear and Nonlinear Functions Identifying functions on tables, graphs, and equations. April 27, 2015

2. 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?

3. 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 )

4. Tables: Linear or Nonlinear  linear  nonlinear xy 250 435 620 85 xy 11 416 749 10100  Is the rate of change constant (the same)? +2 -15 +3 +15 +33 +51

5. Identify: Linear or Nonlinear Table? xy 020 516 1012 158 x0246 y02818  linear  nonlinear

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

7. Identify: Linear or Nonlinear Graph?  linear  nonlinear

8. 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 3 + 1 y = ½ x linear nonlinear linear nonlinear linear

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

10. 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.

11. PowerPoint Wrap UP  Identify if linear or nonlinear. 1.Table A 2.Graph 3.Equation x36912 y 1086 abc y = + 5 8 x