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Chapter 2 Review

Chapter 2 Review. Concepts and Vocabulary. Q1. If a function is defined by the equation y = f(x) , then x is called the _?_ variable and y is the _?_ variable. A1. independent dependent. Q2.

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Chapter 2 Review

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  1. Chapter 2 Review Concepts and Vocabulary

  2. Q1. If a function is defined by the equation y = f(x), then x is called the _?_ variable and y is the _?_ variable.

  3. A1. independent dependent

  4. Q2. A set of points in the xy-plane is the graph of a function if and only if every _?_ line intersects the graph in at most one point.

  5. A2. vertical

  6. Q3. The set of all images of the elements in the domain of a function is called the _?_.

  7. A3. range

  8. Q4. True or False: Every relation is a function.

  9. A4. False

  10. Q5. True or False: The y-intercept of the graph of the function y = f(x), whose domain is all real numbers, is f(0).

  11. A5. True

  12. Q6. True or False: The independent variable is sometimes referred to as the argument of the function.

  13. A6. True

  14. Q7. For the graph of the linear function f(x) = mx + b, m is the _?_ and b is the _?_.

  15. A7. slope y-intercept

  16. Q8. True or False: The correlation coefficient is a measure of the strength of a linear relation between two variables and must lie between -1 and 1, inclusive.

  17. A8. True

  18. Q9. The average rate of change of a function equals the _?_ of the secant line.

  19. A9. slope

  20. Q10. A function f is _?_ on an open interval if for any choice of x1 and x2 in the interval, with x1<x2, we have f(x1) < f(x2).

  21. A10. increasing

  22. Q11. An _?_ function f is one for which f(-x) = f(x) for every x in the domain of f.

  23. A11. even

  24. Q12. An _?_ function f is one for which f(-x) = -f(x) for every x in the domain of f.

  25. A12. odd

  26. Q13. True or False: Even functions have graphs that are symmetric with respect to the origin.

  27. A13. false

  28. Q14. The graph of f(x) = mx + b is decreasing if m is _?_ than zero.

  29. A14. less

  30. Q15. When functions are defined by more than one equation, they are called _?_ functions.

  31. A15. piecewise

  32. Q16. True or False: The cube function is odd and is increasing on the interval (- ∞, ∞).

  33. A16. true

  34. Q17. True or False: The domain and range of the reciprocal function are the set of all real numbers.

  35. A17. false

  36. Q18. Given f(x), then the graph of y = f(x – 2) may be obtained by a(n) _?_ shift of the graph of f a distance of 2 units to the _?_.

  37. A18. horizontal right

  38. Q19. Given f(x), then the graph of y = f(-x) may be obtained by a reflection about the _?_-axis of the graph of the function y = f(x).

  39. A19. y

  40. Q20. Given f(x), then the graph of y = 3f(x) may be obtained by a vertical _?_ of the graph of f by a factor of _?_.

  41. A20. stretch 3

  42. Q21. True or False: The graph of y = - f(x) is the reflection about the x-axis of the graph of y = f(x).

  43. A21. true

  44. Q22. True or False: To obtain the graph of y = f(x+2) – 3, shift the graph of y = f(x) horizontally to the right 2 units and vertically down 3 units.

  45. A22. false

  46. Q23. True or False: To obtain the graph of y = f(4x), horizontally compress the graph of y = f(x) by a factor of 4. That is, divide each x-coordinate on the graph of y = f(x) by 4.

  47. A23. true

  48. Q24. If the domain of f is all real numbers in the interval [0,7], and the domain of g is all real numbers in the interval [-2,5], then the domain of f + g is all real numbers in the interval _?_.

  49. A24. [0,5]

  50. Q25. The domain of f/g consists of all real numbers x for which g(x) _?_ 0 that are in the domains of both _?_ and _?_.

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