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Cumulative Mid Chapter 2 Review

Cumulative Mid Chapter 2 Review. Question 1 - 10. What is the domain and range?. Answer 1 – 10. Domain: {x| -4 ≤ x < 3} Range: {y| -2 ≤ y ≤ 6}. Question 1 - 20. Find the equation of a line using the best form, if the line passes thru the points (-6, 4) and (2, 5). Answer 1 – 20.

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Cumulative Mid Chapter 2 Review

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  1. Cumulative Mid Chapter 2 Review

  2. Question 1 - 10 What is the domain and range?

  3. Answer 1 – 10 • Domain: {x| -4 ≤ x < 3} • Range: {y| -2 ≤ y ≤ 6}

  4. Question 1 - 20 • Find the equation of a line using the best form, if the line passes thru the points (-6, 4) and (2, 5)

  5. Answer 1 – 20 • y – 4 = ⅛ (x + 6)

  6. Question 1 - 30 • Find the equation of the line that is perpendicular to the line 5x + 3y = 12 and the line goes thru (12, -3)

  7. Answer 1 – 30 • y + 3 = 3/5(x – 12)

  8. Question 1 - 40

  9. Answer 1 – 40 • A

  10. Question 1 - 50

  11. Answer 1 – 50 • Domain: 3 • Range: 4

  12. Question 2 - 10 I just bought a new truck at Bob Mickey’s and the title/license cost me an additional $650 on top of the overall price including tax. Define a linear model that will calculate the cost that I spent including the tax of 7%. X represents: F(x) represents: Write the function:

  13. Answer 2 – 10 • x = price truck • f(x) = price including tax and title • f(x) = 1.07x + 650

  14. Question 2 - 20 • Then find the equation of 5x + 3y = 12 that goes thru (-2 ,-6)

  15. Answer 2 – 20 • y + 6 = -5/3(x + 2)

  16. Question 2 - 30 • Solve: • |3x – 3| - 6 = 3

  17. Answer 2 – 30 • x = 4 and x = -2

  18. Question 2 - 40 • Graph: -4|2x – 4| + 8 < -24

  19. Answer 2 – 40 • x < -2 and x > 6

  20. Question 2 - 50

  21. Answer 2 – 50 • B. r = -.98 • C. f(x) = -.46x + 80.08 • D. Albany = about 66, Sydney = about 48

  22. Question 3 - 10 • What is the y-intercept? F(x) = 4x2 – 5x + 12

  23. Answer 3 – 10 • (0, 12)

  24. Question 3 - 20 • Then state whether each function has a maximum value or a minimum value. The find that value. f(x) = -5(x + 9)2 – 10

  25. Answer 3 – 20 • Maximum = -10

  26. Question 3 - 30 • What is the vertex and line of symmetry? • g(x) = 4x2 + 2x – 8

  27. Answer 3 – 30 • Line of symmetry: x = -1/4 • Vertex: (-1/4, -33/4)

  28. Question 3 - 40 • Write each function in vertex form f(x) = -x2 - 4x - 1

  29. Answer 3 – 40 • f(x) = -(x + 2)2 + 3

  30. Question 3 - 50 • State the functions maximum value or a minimum value by completing the square y = 2x2 – 8x – 1

  31. Answer 3 – 50 • Min value: -9

  32. Question 4 - 10 • Describe the transformations occurring in relation to the parent function.

  33. Answer 4 – 10 • Translated right 5 • Translated up 6 • Reflected over the x-axis • Vertically compressed by 3/4

  34. Question 4 - 20 • Describe the transformation occuring in relation to the parent function.

  35. Answer 4 – 20 • Translated left 7 • Translated down 8 • Reflected over the x-axis • Vertically stretched by 4

  36. Question 4 - 30 • Having f(x) = x2 as the parent function, draw the graph with the following transformations; • Translated right 5 • Translated up 1 • Vertically stretched by 2 • Reflected over the x-axis

  37. Answer 4 – 30

  38. Question 4 - 40 Match the equation with the graph. 1. 2. A. B.

  39. Answer 4 – 40 • 1. B • 2. A

  40. Question 4 - 50 Match the equation with the graph. 1. 2. B. A.

  41. Answer 4 – 50 • 1. A • 2. B

  42. Question 5 - 10 Find the zeros: 0 = x2 – 19x + 48

  43. Answer 5 – 10 • (3, 0) and (16, 0)

  44. Question 5 - 20 • Find the zeros: h(x) = 6x2 + x - 12

  45. Answer 5 – 20 • x = 4/3 and x = -3/2

  46. Question 5 - 30 • Find the vertex, y-intercept, and zeros. • F(x) = -2x2 + 4x

  47. Answer 5 – 30 • Vertex: (1, 2) • Y-Int: (0, 0) • Zeros: (0, 0) and (2, 0)

  48. Question 5 - 40 Find x-intercepts: f(x) = 12x2 – 38x – 72

  49. Answer 5 – 40 • (-4/3, 0) and (9/2, 0)

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