1. 1 Linear and Nonlinear Functions How do you identify, compare, and contrast functions as linear or nonlinear? SPI 0806.3.7/ CC 8.F.3

2.  Linear Functions have graphs that are straight lines and represent constant rate of change.

3.  Nonlinear Functions have graphs that are not straight lines.  The rate of change is not constant (values don’t increase/decrease at the same rate).

10.  Linear Functions represent constant rate of change.

11.  Nonlinear Functions do not represent constant rate of change.

12. XY 16 28 310 412

13. XY -22 4 08 116

14. 14 x 36912 y 1086

15. 15 In slope-intercept form, x may not be raised to a power higher than 1. X may not appear in the denominator of a fraction. No additional symbols with the x. y = x + 4 y = 6/x y = 4 y = x 3 + 1 y = ½ x linear nonlinear linear nonlinear linear

16. 16 y =.6x 1

17. 17 y = 2/x + 5

18. 18 y = x 2 + 8

19. 19 Y = 2/x + 1

20. 20 Let's Review!!!

21. A. B. Course 2 12-6 Nonlinear Functions

22. C. D. Course 2 12-6 Nonlinear Functions

23. y E. F. x –4 4 4 0 x 4 4 0 y Course 2 12-6 Nonlinear Functions

24. y G. H. x –4 4 4 0 x 4 4 0 y Course 2 12-6 Nonlinear Functions

25. I. InputOutput 12 25 311 Course 2 12-6 Nonlinear Functions

26. J. InputOutput 13 26 39 Course 2 12-6 Nonlinear Functions

27. K. InputOutput 11 24 39 Course 2 12-6 Nonlinear Functions

28. L. InputOutput 12 24 36 Course 2 12-6 Nonlinear Functions

29. 29 Course 2 12-6 Nonlinear Functions M.

30. 30 Course 2 12-6 Nonlinear Functions N.

31. 31 Course 2 12-6 Nonlinear Functions O. 5/x - 15 = y

32. 32 Course 2 12-6 Nonlinear Functions P. 6x + 2 = y

33. 33 Exit Slip Identify if linear or nonlinear AND WHY. 1.Table A 2.Graph 3.Equation x 36912 y 1086 abc y = + 5 8 x