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SKILLS Worlk 5-8- Express the rule in function notation. (For example, the rule "square, then subtract 5" is expressed as the function S(x) = x² - 5.) 5. Add 3, then multiply by 2 6. Divide by 7, then subtract 4 7. Subtract 5, then square 8. Take the square root, add 8, then multiply by

SKILLS Worlk 5-8- Express the rule in function notation. (For example, the rule "square, then subtract 5" is expressed as the function S(x) = x² - 5.) 5. Add 3, then multiply by 2 6. Divide by 7, then subtract 4 7. Subtract 5, then square 8. Take the square root, add 8, then multiply by

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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D71 IN 1 ۳:0 ص stc ksa l. ( Sara pdf. الفصل الثاني f(x) horve work 17-26- Evaluate the function at the indicated values. 19 *. 17. f(x) - x - 6; f(-3), f(3), f(0), f(4). S(10) 18. (к) — + 2к; f(-2). /(1), /(0), f4). F(0.2) 6 19. f(x) - 2x + 1; SKILLS S(1), S(-2), S(4), s(a), S(-a), S(a + b) home Woll 5-8- Express the rule in function notation. (For example, 20. f(x) = x + 2x; the rule "square, then subtract 5" is expressed as the function S(x) = x - 5.) 5. Add 3, then multiply by 2 S(0), S(3). (-3). (a). (-x). s(÷) 6. Divide by 7, then subtract 4 21. g(x) =i+x 7. Subtract 5, then square 8. Take the square root, add 8, then multiply by + g(2), g(-2), g(4), g(a), g(a – 1), g(-1) Coporigh 2010 Cnpge Leaing AE Rigtes Reened May he copied, aned, or daplicee, is vole or i pan. Detoolecteie righn, we id pany cone may te sappeed ton he o dor Chpet ial wri ha deal ty pprdote de erdty sffet the erl y ien. CenA Lening reee the right te E dreal o a ti prighictren reai 150 CHAPTER 2 | Functions 39. f(x) = 2r 40. f(x) =-1 M(1). h(–1), A(2). M(4), M(x), h(-) 41. f(x) = 3 - 5x + 4x² 42. (х) - х 23. f(x) = 2x? + 3x - 4; S(0), F(2). (-2). S(V2), f(x + 1). f(-x) home wolk 43-64 Find the domain of the function. 24. f(x) = x' - 4x²; 43. f(x) = 2x 44. f(x) = x + 1 45. f(x) - 2x, f(0). F(1). F(-1). F(3). s). s(*) 46. f(x) = x + 1, 0sxs5 f(x) - 2|x - 1|: 47. f(x) =- 48. f(x) = f(-2). f(0). f(4). F(2), f(x + 1), f(x² + 2) Зх — 6 •f(x)%3D 49. /(х) 50. f(x) = +x- 6 (-2). f(-1). F(0). S(). S(x*). s( ÷) . 51. f(x) - Vx - 5 52. f(x) - Vx + 9 53. f(1) = Vi- 1 54. g(x) = V7 - 3r 27-30 - Evaluate the piecewise defined function at the indicated values. 55. h(x) - V2x – 5 56. G(x) = V – 9 if x<0 lx +1 ifx2 0 *. 27. f(x) = 57. g(x) = V2 + x 58. g(x) = 3 - x 2r² + x – 1 f(-2), (-1), (0). f(1). S(2) 59. g(x) = Vx – 6x 60. g(x) = V - 2x – 8 if xs 2 * (2x – 3 if x> 2 28. f(x) = 3 61. f(x) - 62. f(x) - V6 f(-3), f(0). f(2). (3), f(5) (x + 1)? V2x - 1 (x + 2x ifx s -I if -1 <xsI if x>1 (-4). (-). (-1). s(0). (25) if x<0 63. f(x) - 64. f(x) - 29. f(x) - {* V9 - 65–68 - A verbal description of a function is given. Find (a) alge- braic, (b) numerical, and (c) graphical representations for the function. 30. f(x) ={x +1 if 0sxS 2 l(x- 2) if x> 2 . 65. To evaluate f(x), divide the input by 3 and add to the result. 66. To evaluate g(x), subtract 4 from the input and multiply the result by . f(-5). f(0). f(1). f(2). f(5) 67. Let T(x) be the amount on a purchase of x dollars. To find the tax, take 8% of the pur- chase price. sales tax charged in Lemon County 31-34. Use the function to evaluate the indicated expressions and simplify. 31. f(x) = x + 1; f(x + 2), f(x) + f(2) 32. f(x) = 3x - I; (2x), 2/(x) 68. Let V(d) be the volume of a sphere of diameter d. To find the volume, take the cube of the diameter, then multiply by w and divide by 6. 33. f(x) -x+ 4; f(x*). (f(x)) 34. f(x) - 6x - 18; APPLICATIONS
Transcribed Image Text:D71 IN 1 ۳:0 ص stc ksa l. ( Sara pdf. الفصل الثاني f(x) horve work 17-26- Evaluate the function at the indicated values. 19 *. 17. f(x) - x - 6; f(-3), f(3), f(0), f(4). S(10) 18. (к) — + 2к; f(-2). /(1), /(0), f4). F(0.2) 6 19. f(x) - 2x + 1; SKILLS S(1), S(-2), S(4), s(a), S(-a), S(a + b) home Woll 5-8- Express the rule in function notation. (For example, 20. f(x) = x + 2x; the rule "square, then subtract 5" is expressed as the function S(x) = x - 5.) 5. Add 3, then multiply by 2 S(0), S(3). (-3). (a). (-x). s(÷) 6. Divide by 7, then subtract 4 21. g(x) =i+x 7. Subtract 5, then square 8. Take the square root, add 8, then multiply by + g(2), g(-2), g(4), g(a), g(a – 1), g(-1) Coporigh 2010 Cnpge Leaing AE Rigtes Reened May he copied, aned, or daplicee, is vole or i pan. Detoolecteie righn, we id pany cone may te sappeed ton he o dor Chpet ial wri ha deal ty pprdote de erdty sffet the erl y ien. CenA Lening reee the right te E dreal o a ti prighictren reai 150 CHAPTER 2 | Functions 39. f(x) = 2r 40. f(x) =-1 M(1). h(–1), A(2). M(4), M(x), h(-) 41. f(x) = 3 - 5x + 4x² 42. (х) - х 23. f(x) = 2x? + 3x - 4; S(0), F(2). (-2). S(V2), f(x + 1). f(-x) home wolk 43-64 Find the domain of the function. 24. f(x) = x' - 4x²; 43. f(x) = 2x 44. f(x) = x + 1 45. f(x) - 2x, f(0). F(1). F(-1). F(3). s). s(*) 46. f(x) = x + 1, 0sxs5 f(x) - 2|x - 1|: 47. f(x) =- 48. f(x) = f(-2). f(0). f(4). F(2), f(x + 1), f(x² + 2) Зх — 6 •f(x)%3D 49. /(х) 50. f(x) = +x- 6 (-2). f(-1). F(0). S(). S(x*). s( ÷) . 51. f(x) - Vx - 5 52. f(x) - Vx + 9 53. f(1) = Vi- 1 54. g(x) = V7 - 3r 27-30 - Evaluate the piecewise defined function at the indicated values. 55. h(x) - V2x – 5 56. G(x) = V – 9 if x<0 lx +1 ifx2 0 *. 27. f(x) = 57. g(x) = V2 + x 58. g(x) = 3 - x 2r² + x – 1 f(-2), (-1), (0). f(1). S(2) 59. g(x) = Vx – 6x 60. g(x) = V - 2x – 8 if xs 2 * (2x – 3 if x> 2 28. f(x) = 3 61. f(x) - 62. f(x) - V6 f(-3), f(0). f(2). (3), f(5) (x + 1)? V2x - 1 (x + 2x ifx s -I if -1 <xsI if x>1 (-4). (-). (-1). s(0). (25) if x<0 63. f(x) - 64. f(x) - 29. f(x) - {* V9 - 65–68 - A verbal description of a function is given. Find (a) alge- braic, (b) numerical, and (c) graphical representations for the function. 30. f(x) ={x +1 if 0sxS 2 l(x- 2) if x> 2 . 65. To evaluate f(x), divide the input by 3 and add to the result. 66. To evaluate g(x), subtract 4 from the input and multiply the result by . f(-5). f(0). f(1). f(2). f(5) 67. Let T(x) be the amount on a purchase of x dollars. To find the tax, take 8% of the pur- chase price. sales tax charged in Lemon County 31-34. Use the function to evaluate the indicated expressions and simplify. 31. f(x) = x + 1; f(x + 2), f(x) + f(2) 32. f(x) = 3x - I; (2x), 2/(x) 68. Let V(d) be the volume of a sphere of diameter d. To find the volume, take the cube of the diameter, then multiply by w and divide by 6. 33. f(x) -x+ 4; f(x*). (f(x)) 34. f(x) - 6x - 18; APPLICATIONS
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