Precalculus

Answers Section 4.1 A-2322. Vertical asymptote: x 3 2Horizontal asymptote: y 1 2yy = 1 254321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–5x + 1f(x) =2x – 3x = 3 2x23. a. Approximately 1988 and 1994b. The rate peaked at approximately 9.6 per 100,000 in 1991.c. The crime rate dropped for 1991 through 2000.Chapter 4Section 4.1, page 3041.y3. a 1 35.7.a 10y54321–2–3–4–5f(x) = 3 x–5 –4 –3 –2 –1 1 2 3 4 5xg(x) = e –x54321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–5xa. b.54321–2–3–4–5c. d.54321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–5y–5 –4 –3 –2 –1 1 2 3 4 5yg(x) = –3 xg(x) = 3 x + 2xxg(x) = 3 –xg(x) = 3 x + 254321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–554321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–5yyxx9.54321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–5yg(x) = e x – 211. t 11.79 13. t 49.70 15. x 4 17.19. x 3 21. x 5 23. x 2, x 125. a. $1790.85 b. $1814.02 c. $1819.40d. $1822.03 e. $1822.1227. 20 gerbils initially present;t f(t)0 201 302 453 684 101approximately 228 gerbils after 6 months;approximately 735 billion gerbils after 5 yearsxx 3