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

11.
(a) (b) fx x4 fx x 3 3
4
y x4 12.
Section 2.2 Polynomial Functions of Higher Degree 153
Horizontal shift three units to the left Vertical shift three units downward
(c) (d) fx 1
2x 14 fx 4 x4 −4 −3 −2 1 2 3 4
−1
Reflection in the x-axis and then a vertical
shift four units upward
Horizontal shift one unit to the right and a vertical shrink
each y-value is multiplied by
(e) (f) fx 1 2x 4 fx 2x 2
4 1
2
1
−4 −3 −2 −1
−1
−2
Vertical shift one unit upward and a horizontal shrink Vertical shift two units downward and a horizontal stretch
each y-value is multiplied by each y-value is multiplied by 1
1
y x 6
(a)
−5 −4 −3 −2 −1 1 2 3
6
5
3
2
1
−2
y
6
5
y
6
5
4
3
2
1
−2
fx 1
8 x 6
y
1
2 3 4
x
x
x
Vertical shrink each y-value is multiplied by and
reflection in the x-axis
—CONTINUED—
4
3
2
1
−4 −3 −2 2 3 4
−1
−2
−3
−4
y
x
2
1
8
−4 −3 −2 2 3 4
−4 −3 −2 −1 1 2 3 4
−4 −3 −1 1
−1
4
3
2
1
−4
−2
6
5
4
3
2
1
y
y
y
3 4
(b) fx x 2 6 4
−5 −4 −2 1 2 3
−4
y
x
x
x
x
Horizontal shift two units to the left and vertical shift four
units downward
2