Name ________________________________________ Date __________________ Class__________________
LESSON
5-7
Practice A
Radical Functions
Graph each function.
1. g  x   x  2
x
g(x)
(x, g(x))
0
0  2  2
(0, 2)
1
1  2  1
(1, 1)
4
4 20
(4, 0)
9
9  2 1
(9, 1)
16
16  2  2
(16, 2)
a. Describe the transformation from the parent function.
_________________________________________________________________________________________
b. Identify the domain and range.
_______________________________
_______________________________
2. g  x    x
a. Complete the table of values, then graph.
x
g(x)
(x, g(x))
0
 0 0
(0, 0)
1
4
9
16
b. Describe the transformation from the parent function.
_________________________________________________________________________________________
c. Identify the domain and range.
_______________________________
_______________________________
Solve.
3. Dale wants to horizontally stretch the function f  x   x  5 by a factor of 3.
He writes the function f  x   3  x  5  . Is he correct? If not, what is the
correct function?
_________________________________________________________________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
5-51
Holt McDougal Algebra 2
3. xy 4 353 y = xy 4 42,875 y
8. 2x2
9.
4. 5 xy 12 39 ⋅ 5 2 x 8 y 7 = 5 xy 12 492,075 x 8 y 7
5.
4
20
6
7.
5-7 RADICAL FUNCTIONS
20
6.
8
27
55 ⋅ 6 4
=
6
3y
20
Practice A
4,050,000
6
1. a. Translation 2 units down
b. Domain: {x | x ≥ 0}; range: {y | y ≥ −2}
3x5y
=
x
x
6
2. a.
x
g(x)
(x, g(x))
0
− 0 =0
(0, 0)
1
− 1 = −1
(1, −1)
= 530 58 ⋅ 719
4
− 4 = −2
(4, −2)
10. 612 59 ⋅ 35 = 612 474,609,375
9
− 9 = −3
(9, −3)
16
− 16 = −4
(16, −4)
6
3x 2 y
8.
=
5 xy
56 x 4y 5
6
9.
6
3
19
175 30
Problem Solving
b. Reflection across the x-axis
⎛ −12 ⎞
1. a. d (12) = 50 ⎜ 2 12 ⎟
⎝
⎠
c. Domain: {x | x ≥ 0}; range: {y | y ≤ 0}
3. No; g(x) =
b. 25 cm
c.
1
2
1
( x + 5)
3
Practice B
1. {x | x ≥ −4}; {y | y ≥ 0}
2.
Notes
Higher
than the
Root Note
2
4
6
8
10
12
Distance of 44.5 39.7 35.4 31.5 28.1 25
Fret from
Bridge
(cm)
3. A
4. D
5. C
6. C
Reading Strategies
1. Write as a radical,
3
82 = 3 64 = 4
2. 7x − 4
3. Quotient Property;
7
x2
4. 3
5. 2
6. x
7. 125
2
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
A64
Holt McDougal Algebra 2