Precalculus

A-14 Answers Chapter 2 Review37. y 9.5714x 177.14, where y is the CFC-11 concentration inparts per trillion and x is the number of years after 1980; approximately387.7 parts per trillion; the model doesn’t take into accountthe effects of global effort to cut usage of CFCs to preserve theozone layer.39. y 0.75x 2 34.8x 320, where x 0 corresponds to 1980;1,659,000 inmates41. True43. FalseChapter 2 Review, page 2161. Function 3. Not a function5. Defines y as a function of x7. Does not define y as a function of x9. a. 21 b. 28x11. a. 2 xb.2 2x 1x 2 1 x 2 2x 213. a. 4 b. 1 c. a 415. All real numbers17. ( 1 2 , )19.10-10-10Domain: (. 2] [2, )Range: [0, )21.10-10-10Domain: all real numbers except 1Range: {1, 1}23. a. g(x) 2x 3 6x 1b. g(x) 2x 3 6x 2 325. a.h(x) = f(x + 3) y54321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–51010xb.c.27. Odd29. Neither31. x 9 433. x 8 335. a. x 1.88, x 0.35, x 1.53b. Turning points: local maximum at (1, 3), local minimum at(1, 1)c. Increasing: (, 1) (1, )Decreasing: (1, 1)37. a. x 1.73, x 1.73b. Turning points: local maximum at (1, 1), local minimum at (3, 3)c. Increasing: (. 1) (3, )Decreasing: (1, 2) (2, 3)( f g)(x) x 2 2x 1( fg)(x) 2x 3 x 2c. ( f/g)(x) x 22x 1 ; x 1 2d. ( f o g)(x) 4x 2 4x 1e.39. a.b.41. a.b.c.(g o f )(x) 2x 2 1( f g)(x) 1x 4 x 3 ; x 4( fg)(x) x 3x 4 ; x 4(f/g)(x) 54321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–554321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–5h(x) = – f(x) – 21x 4 4x 3; x 4, x 0d. ( f o g)(x) 1x 3 4 ; x 431e. (g o f )(x) (x 4) 3; x 4yyh(x) = f(x – 2) + 1xx