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For each function f, find f(2) and f(21). 65) f {(0, 9), (2, 5), (1, 8), (2, 7)} f (2) 7; f (1) 8 66) x y 5 5 5 5 f (2) 3; f (1) 4 67) Let f (x) 3x 8, g(x) x2 9x 4. Find each of the following and simplify. a) f (3) 1 b) f (5) 23 c) g(4) 16 d) g(0) 4 68) h(x) 2x 11. Find x so that h(x) 7. 9 69) In 2011, approximately 250 million photos were uploaded to Facebook each day. This can be modeled by the function N(x) 250x, where N is the number of photos uploaded (in millions) to Facebook in x days. (www.facebook.com) a) How many photos were uploaded to Facebook in 4 days? 1,000,000,000 b) How many photos were uploaded to Facebook in one week? 1,750,000,000 c) How long would it take for 3,000,000,000 photos to be uploaded? 12 days 56) 2 1 0 4 3 1 57) domain: {2, 1, 0}; range: {4, 3, 1}; function domain: (q, q); range: (q, q); function x 5 5 5 5 y 58) x y 5 5 5 5 Determine the domain of each function. domain: 3, 1; range: 4, 2 not a function 59) y 2x 5 (q, q) 60) y 1 5 x 6 (q, q) 61) y 6 x (q, 0) ´ (0, q) 62) y 3 x 4 (q, 4) ´ (4, q) 63) y x2 3 (q, q) 64) y x3 9 (q, q) 1) Solve 3a2 4 22 using the square root property. 2) The kinetic energy K, in joules, of an object is given by K 1 2 mv2, where m is the mass of the object, in kg, and v is the velocity of the object in m/sec. Find the velocity of a motorcycle with a mass of 180 kg and kinetic energy of 1440 joules. 4 m/sec Solve by completing the square. 3) m2 12m 26 0 4) 3k2 15k 9 0 5) Elaine simplifi ed the expression as follows: 12 815 4 3 815. Explain her error, and simplify the expression correctly. 6) Solve 2p2 9p 5 0 using the quadratic formula. Solve using any method. 7) ( p 7)2 1 13 8) 1 6  c2 2 3  c 2 0 9) (2k 3)(2k 5) 6(k 2) 10) n2 3n 10 Solve. Give an exact answer, and use a calculator to round the answer to the nearest hundredth. 11) An object is thrown upward from a height of 32 feet. The height h of the object (in feet) t seconds after the object is released is given by h 16t2 40t 32. a) How long does it take the object to reach a height of 8 feet? 3 sec b) How long does it take the object to hit the ground? (Hint: When the object hits the ground, h 0.) 12) What do you call the graph of y ax2 bx c? Chapter 10: Test *Additional answers can be found in the Answers to Exercises appendix. {16, 16} {6 110, 6 110} e9 141 4 , 9 141 4 f {7 213, 7 213} {6, 2} e 1 113 4 , 1 113 4 f 5 157 4 658 CHAPTER 10 Quadratic Equations www.mhhe.com/messersmith sec or about 3.14 sec parabola


messersmith_power_introductory_algebra_1e_ch4_7_10
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