Precalculus

A-22 Answers Chapter 3 Test69. Vertical asymptote: noneHorizontal asymptote: y 2y71. Vertical asymptote: x 1Horizontal asymptote: y 0yy = 073. Vertical asymptote: x 0Inclined asymptote: y 2xyy = –2x54321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–575. Vertical asymptote: x 3Inclined asymptote: y 3x 1y5040302010–8 –7 –6 –5 –4 –3 –2 –1 1 2 3 4 5x = –354321–2–3–4–52f(x) =(1 – x) 2h(x) = – 2x –x = 0h(x) =–20–30–40–50y = 2–5 –4 –3 –2 –1 1 2 3 4 52xg(x) =2x 2 + x + 254321–4 –3 –2 –1 1 2 3 4 5–1–2–3–4–5x = 11xx3x 2 + 8x – 9x + 3y = 3x – 1xxx77. a.x 2 4x 5x 1b. y x 379. a.3 133 13x b. x , x 02281. a. x 2 4x 4 b. (x 5) 9x 183. a. Vertical asymptote: x 3; Horizontal asymptote: y 2b.85. a.h(x) 1x 3 2(2 3i) (2 3i) 4,(2 3i)(2 3i) 13b. f(x) x 2 4x 1387. f(x) 31000 x 2 18x 15,000The largest profit of $12,000 occurs when x 3000.89. Zeros: 2, 10.3; The months when the average temperatureis zero91. yChapter 3 Test, page 2921. True 2. True 3. False 4. False5. True 6. True 7. False 8. True9. f(x) x, for example10. f(x) x 3 6x 2 5x 12, for example11. f(x) x 3 2x 2 9x 18, for example12. f(x) x 4 1, for example13.xf(x) , for examplex 114. f(x) x 3 1 , for examplex 215. f(x) x 2 (x 4)(2x 1) ; Zeros: 0, 4, 1 216. f(x) (x 2)(3x 1)(2x 3)17.18.706015,000 + 20x50 C(x) =x403020y = 2010x1000 2000 3000x = 0The average cost approaches $20.Zeros: 2, 1 3 , 3 2q(x) 3x 3 6x 2 5, r(x) 4f(x) x(5x 2)(x 3i)(x 3i)Zeros: 0, 2 , 3i, 3i519. Possible rational zeros: 1, 3, 9, 1 2 , 3 2 , 9 2Actual rational zeros: 3, 1, 3 220. Possible number of positive zeros: 3 or 1Actual number of positive zeros: 1Number of negative zeros: 121. Approximately 1.52