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

70.
72.
74.
gx x 2 10x 16 x 2x 8
(a) Falls to the left; falls to the right
(b) Zeros: 2, 8
(c)
(d)
10
8
6
4
2
x 1 3 5 7 9
gx
y
f x 1 x 3
7 5 9 5 7
(2, 0) (8, 0)
4 6 10
(a) Rises to the left; falls to the right
(b) Zero: 1
(c)
(d)
x 2 1 0 1 2
f x
9 2 1 0 7
3
2
−2 −1 2
−1
y
(1, 0)
f x 4x 3 4x 2 15x
(a) Rises to the left; falls to the right
(b) Zeros:
(c)
(d)
x4x 2 4x 15
x2x 52x 3
3 ( − , 0( 2
−4 −3 −2
3 5
2 , 0, 2
x
x 3 2 1 0 1 2 3
f x
x
99 18 7 0 15 14 27
20
16
12
8
4
y
(0, 0)
1
2
(
5
, 0( 2
3
4
x
Section 2.2 Polynomial Functions of Higher Degree 161
71.
73.
75.
f x x 3 3x 2 x 2 x 3
(a) Falls to the left; rises to the right
(b) Zeros: 0, 3
(c)
(d)
x 1 0 1 2 3
f x
1
−1 1 2 4
−3
−4
y
4
(0, 0) (3, 0)
0 2 4 0
fx 3x 3 15x 2 18x 3xx 2x 3
(a) Falls to the left; rises to the right
(b) Zeros: 0, 2, 3
(c)
(d)
x 0 1 2 2.5 3
f x
y
7
6
5
4
3
2
1
(0, 0) (2, 0) (3, 0)
−3 −2 −1
−1
1 4 5 6
−2
x
0 6 0 1.875 0 7.875
f x 5x 2 x 3 x 2 5 x
(a) Rises to the left; falls to the right
(b) Zeros:
(c)
(d)
−15
5
(−5, 0) (0, 0)
−10
0, 5
−20
y
5 10
x
x
3.5
x 5
4 3 2 1 0 1
f x
0 16 18 12 4 0 6