1 / 54

Relations and Functions

Linear Equations. Relations and Functions. Slope. Vocabulary: Relation Domain Range Function Function Notation Evaluating Functions. Point-slope form :. Slope-intercept Form. Standard Form. No fractions! No decimals!. Transformation of f ( x ). Translation: Horizontal ( h > 0 ).

brady-white
Download Presentation

Relations and Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Linear Equations Relations and Functions Slope Vocabulary: Relation Domain Range Function Function Notation Evaluating Functions Point-slope form: Slope-intercept Form Standard Form. No fractions!No decimals!

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

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

  4. Functions, Equations and Graphs

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

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

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

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

  9. Find the values Answer

  10. Find the values

  11. Find the value of Answer

  12. Find the value of

  13. Find the value of Answer

  14. Find the value of

  15. Find the slope between the points: and and Answer

  16. Find the slope between the points: and and

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

  18. Write and equation in slope-intercept form: and y-intercept and

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

  20. Write an equation in point-slope form: and and

  21. Write an equation in standard form and and Answer

  22. Write an equation in standard form and and

  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. Function notation: Description: Answer

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

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

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

  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. 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 Answer

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

  34. Describe transformations of f(x) that produces g(x). Reflect across x-axis; compress by ½; right 3; up 4

  35. Graph Answer

  36. Graph Equation: Vertex: (0, 0) Slope of right arm: 1

  37. Graph Answer

  38. Graph Equation: Vertex: (−3, −4) Slope of right arm: 2

  39. Write equation for the graph Answer

  40. Write equation for the graph Vertex: (−1, 2) Slope of right arm: Equation:

  41. Graph Answer

  42. Graph Equation: Vertex: (-2, 3) Slope of right arm: − ½

  43. Graph Answer

  44. Graph Equation: Vertex: (3, −3) Slope of right arm: 2

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

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

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

  48. Write an equation of line in standard form that is perpendicular to the given line and goes through the given point. Point:

  49. Graph the equation: Answer

  50. Graph the equation:

More Related