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

216 Chapter 2 Polynomial and Rational Functions
56. hx
(a) Domain: all real numbers x except x 1
x2
1
x 1
x 1 x 1
58.
(b) Intercept:
(c) Vertical asymptote: x 1
Slant asymptote: y x 1
(d)
x 4 2 2 4 6
fx x2
3x 1
(a) Domain: all real numbers x except
(b) Intercept:
(c) Vertical asymptote:
Slant asymptote: y 1
x
1
x
3 9
1
3
(d)
hx
x
y
1 1
y = x −
3 9
−1
8
6
4
2
(0, 0)
−4 2 4 6 8
−2
−4
y
3
9
8
1
2
3
1
3
0, 0
16
5
1 1
x
3 9
0, 0
y
y = x + 1
2
4
5
(0, 0)
1
3
4
3
2
3
1
1
1
2
4
3
4
x
1
93x 1
x
16
3
1
2
1
2
36
5
x 1
3
0 2
0
4
7
57.
ft
(a) Domain: all real numbers t except t 5
(b) Intercept: 0, 1 5
(c) Vertical asymptote: t 5
Slant asymptote: y t 5
t 2 1
26
t 5
t 5 t 5
(d)
t
y
59. fx
(a) Domain: all real numbers x except x ±1
(b) Intercept: 0, 0
(c) Vertical asymptotes: x ±1
Slant asymptote: y x
(d)
x3
x2 x
x
1 x2 1
x 4 2 0 2 4
f x
0
25 37 1
7 6 4 3
17 5
y = 5 − t
(0, −0.2)
−20 −15 −10 −5
10
64
15
−6 −4 −2 2 4 6
y
2
25
20
15
5
y
8
3
(0, 0)
0
y = x
t
x
8
3
64
15
5