558 Chapter 10 Functions and Their Graphs EXERCISE 10.2 Answers to Odd-Numbered Problems Begin on Page AN-49. 50. Constructing son, earns $1 In Problems 1-8, find the following values for each function (a) f(0) (b) f(1) (c) f-1) (d) f-x) (e) -f(x)(fx+ 1) (g) f(2x) (h) f(x + h) gross salary , 61. Demand Eq certain prod 1. f(x) = 3x2 + 2x-4 X 3. f(x) 4. f(x) = 2. f(x) = -2x2 + x - 1 2+ 1 5. f(x) = lx + 4 2x+ 1 8. fx) = 1 6. f(x) = x2 + x 7.f(x) Express the 3x-5 52. Demand E certain pro (x+2 In Problems 9-16, find the difference quotient of f, that is, find x +h)- fx)h 0, for each function. Be sure to simplify. h 9. f(x) = 4x + 3 Express t 10. f(x) =-3x + 1 12. f(x) = x+5x-1 11.f(x) x2-x+ 4 53. Demand certain p 13. f(x) = x3 14. f(x) x3- 2x 16. f(x) = 1 15. f(x) = x In Problems 17-28, determine whether the equation is a function. Express tS 54. Deman 17. y x 18. y x3 certain 19. y 20. y x 21. y 4-x2 22. y +V1 - 2x 23. x y2 24. x+ y2 1 Expre 25. y 2x2- 3x + 4 Зх — 1 26. y 27. 2x23y2 1 55. Whe in th 28. 2- 4y2 = 1 x + 2 In Problems 29-42, find the domain of each function. Yea Th 29. f(x)=5x + 4 Ac 30. f(x) x2 + 2 31. f(x) X 2 + 1 32. f(x) = x21 Ye X 33. g(x) 2x 34. h(x) 2 X- x2 16 35. F(x) T xt 4 x3-4x x2 4 36. G(x) x3 t x 11 37. h(x) = V3x 12 38. G(x) V1 - x 4 39. f(x) If X 40. f(x) 11 Vx-9 Vx-4 O 2 b 41. p(x) 42. q(x) V-x - 2 x - 1 V 43. If f(x) of A? 2x+ Ax2+4x- 5 and f(2) = 5, what is the value 56. 11 2x-A 47. If f(x) and f(4) = 0, what is the value of A? Where x -3 is fnot defined? 44. If f(x) = 3x2- Bx + 4 and f(-1) = 12, what is the value of B? x-B 48. If f(x) = 0, and f(1) is undefined, what at f(2) x-A 3x+ 8 2x 4 and f(0) = 2, what is the value of A? Where 45. If f(x) the values of A and B? is fundefined? 49. Constructing Functions Express the gross salary Gof ape son who earns $10 per hour as a function of the number o hours worked. 2x-B 3x + 4 and f(2) is fundefined? 46. If f(x) what is the value of B? Where

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.