1. Relations and Functions Linear Equations Vocabulary: Relation Domain Range Function Function Notation Evaluating Functions No fractions! No decimals!

2. Transformation of f(x) Translation: Vertical (k > 0) Translation: Horizontal (h > 0) Stretch or compression: Vertical by a factor of a Reflection Up k units Down k units Right h units Left h units Stretch: Compression: Across x-axis Across y-axis

3. Absolute Value Function f(x) = |x| Vertex Axis of symmetry x = 0 Graphing 1.Graph the vertex 2.Graph right branch 3.Use symmetry to graph left branch Vertex: (h, k) Slope of right branch: ±a Equation from graph 1.Identify the vertex 2.Find the slope of the right branch Pg. 127 #1-20, 23-26, 31-37

4. Functions, Equations and Graphs FunctionsLinear EquationsTransformationsAbsolute Values More Linear Equations 10 20 30 40 50

5. Is the relation a function? Answer A. {(1, 2); (2,3); (1,4); (3,5)} B. {(1, 5); (2,5); (3,5)} C.

6. Is the relation a function? A. {(1, 2); (2,3); (1,4); (3,5)} B. {(1, 5); (2,5); (3,5)} C. No Yes

7. What is the domain and range? Answer A. {(1, 2); (2,3); (1,4); (3,5)} B. {(1, 5); (2,5); (3,5)}

8. What is the domain and range? A. {(1, 2); (2,3); (1,4); (3,5)} B. {(1, 5); (2,5); (3,5)} Domain:{1, 2, 3} Range: {2, 3, 4, 5} Domain:{1, 2, 3} Range: {5}

9. Find the values Answer

10. Find the values

11. Answer

15. Find the slope between the points: Answer

16. Find the slope between the points:

17. Write and equation in slope-intercept form: Answer

18. Write and equation in slope-intercept form:

19. Write an equation in point-slope form: Answer

20. Write an equation in point-slope form:

21. Write an equation in standard form Answer

22. Write an equation in standard form

23. Write an equation in point-slope form for the graph: Answer

24. Write an equation in point-slope form for the graph:

25. Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Answer Function notation: Description:

26. Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description:Right 3 Up 2

27. Function notation: Answer Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Description: Stretch by 2 Down 2

28. Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Stretch by 2 Down 2

29. Answer Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description:

30. Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Compress by ½ Left 2 Down 3

31. Answer Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Reflect across x-axis Stretch by 2 Right 1 Up 4

32. Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Reflect across x-axis Stretch by 2 Right 1 Up 4

33. Answer Describe transformations of f(x) that produces g(x).

34. Reflect across x-axis; compress by ½; right 3; up 4

35. Answer

39. Write equation for the graph Answer

40. Write equation for the graph

41. Answer

45. Write an equation of line in standard form that is parallel to the given line and goes through the given point. Answer

46. Write an equation of line in standard form that is parallel to the given line and goes through the given point.

47. Answer Write an equation of line in standard form that is perpendicular to the given line and goes through the given point.

49. Graph the equation: Answer

50. Graph the equation:

51. Answer

52. Graph the equation:

53. Answer Graph the equation: