23a. C = y + 100
0 2 4 6 8 10b. 5 p e o p l e 25. translates the graph 1 unit to the left- translates the graph 1 unit up 29. translates the
graph 3 units to the right 31. about 4.2 ft
b. x = 0, y = 0 c. all real n u m b e r s e x c e p t 0; all real
numbers greater than 0 35. absolute value function with
vertex (4, 0) 37. line with slope y through origin- translation of radical function y = V x shifted right
4 units and up 1 unit 41. rational function with
asymptotes x = - 4 and f(x) = -1 43. The graph of
y = y a °d y = ~ y + T are both composed of two
curves with asymptotes x = - 2 and y = 0. The graph of
y = is a reflection of the graph of y = y
across the x-axis. 45. Graph of a rational function with
asymptotes at x = 1 and g(x) = 1; the left section of the
graph passes through ( - 5 , | ) , (0, 0), ( - 1 , j ) and the
right section passes through | | , 3 j, (2, 2), ^3, | j. - Graph of a rational function with asymptotes at
x = - 2 , x = 2; the left section of the graph passes
through [ - 6 , ( - 4 , ( - 3 , | ) , the U-shaped
middle section passes through ( y - y ) , (o, y - j , ( |, y r ) ,
and the right section passes through ^3, | ) , ^4, g),
^6, ygj. 49. Both graphs pass through
( - 1 , 0 ) and (0, 1), but they are not the same; f(x) is
not defined when x = - 2.
Chapter Review- excluded value 2. asymptote 3.
- ± i x # 0 5. 1 m # 3 6. y
pp. 715-718
rational expression5x2
2(3-1),x * -3-, a * -1,a + 1 8,|± l ,x # l,x # 43(x - 2)
7) 14. 4x-3-^12.' 3(3+1)- -1 C # 4 10. yfy 11
- (x+5)(x
- 3c/-7-yfy 16. 2b2 + b + 3 17.
(a + 4)(3 - 2)
a2(a + 2)
8x - 318.
21.24 + 7x
28x
138,430
59 r19.x 2 + 7x - 20 (x + 2)(x - 4) 20.- 24 23. 9 24.
x + 1- 1 5x2 + 23x + 27
(3x - 1)(2x + 3)
-14 25. -21 26. 6 min
- xy=21 28. xy=10 29. xy=-18 30. xy=-25
y
II
/ 0
/
X
— 0
/
V/- about 9.5 mi/h
- x # 0
- x # -4
- x= -2 ,y = 0
- x= -3 ,y = 0