Section 3.2 Relations 175 40. Find the output value that corresponds to the input value of -2 for the relation {(-5, -2), (-3, 10), (-2, -8), (2, 0), (-2, 0)}. Mix ’Em Up! Express each given relation in the specifi ed form and then state the domain and range. 41. A group of friends share their all-time favorite movies. The results are shown in the mapping. Write this relation as a set of ordered pairs. E.T. Titanic Lethal Weapon Sense and Sensibility 42. A group of friends share the number of miles they drive to campus. The results are shown in the mapping. Write this relation as a set of ordered pairs. 3 6 12 t 43. A library charges $0.50 for each day that a book is turned in late. Express the relation between the number of days late and the late fee. 44. A local cleaners charges $1.25 to wash and iron cotton shirts. Express the relation between the number of shirts washed and the total cost. 45. Express the relation as a set of ordered pairs. 1 2 – –7 1 5 0 3 9 46. Express the relation as a set of ordered pairs. –2 0 3 9 –7 –3 0 1 47. The number of viewers of the top five rated broadcast TV programs for the week of August 15, 2011, is given in the table. Express this relation as a graph. (Source: Nielsen Media Research) Rating 1 2 3 4 5 Viewers (in millions) 10.7 10.4 8.7 9.7 8.6 48. The number of viewers of the top five rated cable TV programs for the week of August 15, 2011, is given in the table. Express this relation as a graph. (Source: Nielsen Media Research) Rating 1 2 3 4 5 Viewers (in millions) 7.8 6.7 6.7 5.4 5.5 Find the domain and range of each relation. 49. {(-90, 4), (-71, 91), (-15, 9), (20, 34), (53, -34)} 50. {(-100, 23), (-93, 83), (33, 42), (52, 83)} 51. {(-17, 18), (-16, 4), (0, 18), (18, -17)} 52. {(-9, 7), (-6, 24), (1, 7), (24, 3)} 53. 6 2 –4 –2 2 x 4 4 –2 y 54. 0 5 0 5 1 5 1 –0 5 –0 5 –1 x y 1 55. 8 4 8 –4 –12 –8 –4 –8 x y 4
hendricks_intermediate_algebra_1e_ch1_3
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