C H A P T E R 2 Polynomial and Rational Functions

4
126. hx
x 1
(a) Domain: all real numbers x except x 1
2
(b) y- intercept: 0, 4
(c) Vertical asymptote: x 1
Horizontal asymptote: y 0
(d)
x 2 1 0 2 3 4
4
9
y 1 4 4 1
7
6
5
(0, 4)
3
1
y
−3 −2 −1 2 3 4 5
128. y
(a) Domain: all real numbers x except x ±2
2x2
x2 4
(b) Intercept:
(c) Vertical asymptotes: x 2, x 2
Horizontal asymptote: y 2
(d)
(0, 0)
6
4
0, 0
x ±5 ±4 ±3 ±1 0
50
21
y 0
−6 −4 4 6
y
8
3
18
5
x
x
2
3
4
9
127. f x
(a) Domain: all real numbers x
6x2
x2 1
129.
(b) Intercept:
(c) Horizontal asymptote:
(d)
−6
−4
−2
Review Exercises for Chapter 2 253
4
2
−8
0, 0
y
(0, 0)
2 4
6
y 6
x ±3 ±2 ±1 0
27
5
y 3 0
24
5
f x 6x2 11x 3
3x 2 x
(c) Vertical asymptote: x 0
Horizontal asymptote: y 2
(d)
(a) Domain: all real numbers except and
(b) intercept:
y-intercept:
none
3
x
x-
, 0 2 1
x x 0
3
x
y
3x 12x 3
x3x 1
2
7
2
2
−8 −6 −4 −2
−2
−4
−6
−8
4
3
, 0
2
6 8
y
1
((
x
2x 3
, x
x
1
3
1 2 3 4
5 1 1
x
1
2
5
4