Alg 1 11.8 pg 694

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MATCHING GRAPHS Match the function with its graph.A. yB. y C.6621022 x2 2 6 x48482y2x1º 239. y = º º 1 40. y = + 7x + 7x + 341. y = x4 STUDENT HELPHOMEWORK HELPVisit our Web sitewww.mcdougallittell.comfor help with Exs. 52–58.INTERNETORIGAMI CRANESThe art of paperfolding has been practicedin Japan since the seventhcentury A.D. There is anancient Japanese belief thatfolding 1000 cranes willmake your wish come true.REALFOCUS ONAPPLICATIONSLIFEGRAPHING In Exercises 42–50, graph the function. Describe the domain.42. y = 1 x + 4 43. y = 12 º 8 44. y = + 6x º 3x º 43645. y = º + 8 46. y = º 7 47. y = 3 x + 11x + 1x + 9x + 348. y = º2 x + 11x º 549. y = 9 x º 6x º 150. y = º5 x + 19x º 351. BATTING AVERAGE After 50 times at bat, a major league baseballplayer has a batting average of 0.160. How many consecutive hits must theplayer get to raise his batting average to 0.250?52. TEST AVERAGES You have taken 3 tests and have an average of72 points. If you score 100 points on each of the rest of your tests, howmany more tests do you need to take to raise your average to 88 points?FUNDRAISING In Exercises 53 and 54, a library has received a singlelarge contribution of $5000. A walkathon is also being held in which eachsponsor will contribute $10. Let x represent the number of sponsors.53. Write a function that represents the average contribution per person,including the single large contributor. Sketch the graph of the function.54. Explain how such averages could be used to misrepresent actualcontributions.ORIGAMI CRANES In Exercises 55–58, you investigatehow long it would take you and a friend to fold 1000 origamicranes. You take 2 minutes to fold 1 crane. Let x representthe number of minutes it might take a friend to fold 1 crane.55. Working alone, you would take 2000 minutes to fold 1000 cranes, so your1work rate is of the job per minute. Find your work rate per hour.20 006056. The expression is your friend’s work rate per hour. Explain why.10 00x57. Write an expression for the combined work rate per hour of you and yourfriend (the part of the job completed in 1 hour if you both work together).58. Suppose that together you could complete 1000 cranes in 20 hours. Your1combined work rate per hour would be . To find the time your friend takes2 01to fold 1 crane, set the expression in Exercise 57 equal to and solve for x.2 0<strong>11.8</strong> Rational Equations and Functions 695
INVERSE VARIATION AND RATIONAL FUNCTIONS In Exercises 59 and 60,you will compare the types of graphs in 11.3 with those in this lesson.59. Graph ƒ(x) = 6 x and ƒ(x) = 6 + 1 in the same coordinate plane.xº 260. Writing How are the two graphs in Exercise 59 related? Do you thinkathis relationship will hold for any set of functions ƒ(x) = + k andx º hƒ(x) = a ? Explain.xTestPreparation61. CHANGING CONSTANTS Use a graphing calculator to graphƒ(x) = a x for at least ten values of a. Include positive, negative, andnon-integer values. How does changing the value of a seem to affect theappearance of the graph?9 762. MULTIPLE CHOICE What is the solution of the equation = ?x + 5 x º 5¡ A 5 ¡ B 8 ¡ C 20 ¡ D 40 ¡ E 80463. MULTIPLE CHOICE Choose the graph of the function y = +1. x º 2¡ A y ¡ B y ¡ C6y422x26x42x46★ Challenge¡ D None of the aboveRATIONAL FUNCTIONS In Exercises 64–67, you will look for a pattern.64. Copy and complete the table. Round your answers to the nearest hundredth.x 0 20 40 60 80 100 x 2+ 6x + 2? ? ? ? ? ?x º 2 ? ? ? ? ? ?10x + 2? ? ? ? ? ?x65. What happens to the values of 2 + 610, (x º 2), and as x increases?x +2x + 2x66. Which is the graph of y = x º 2? of y= 2 + 6?x +2y67. CRITICAL THINKING Explain the2 A Brelationship between the two graphsEXTRA CHALLENGE4in Exercise 66. Use the table inwww.mcdougallittell.com Exercise 64 to help you.Exs. 66 and 67x696 Chapter 11 Rational Equations and Functions
Page 3 and 4: GOAL 2GRAPHING RATIONAL FUNCTIONSTh
Page 5: GUIDED PRACTICEVocabulary Check ✓

Alg 1 11.8 pg 694

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