Answers26-27 AISD - Algebra 2A-IC HallReflections and Dilations of Absolute Value Functions

Lesson 6: The Square Root Function Answers

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1
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What is the simplified form of ? Assume x ≠ 0.

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A
StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction
Option A
B
StartFraction 6 Over 5 x squared EndFraction
Option B
C
Six-fifths x Superscript 10
Option C
D
Six-fifths x squared
Option D
2
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Use the graphing calculator to graph the function f(x) = –. Which list contains three points that lie on the graph of the function?

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A
(–9, 3), (–4, 2), (–1,1)
B
(1,1), (4, 2), (9, 3)
C
(–9, –3), (–4, –2), (–1,–1)
D
(1,–1), (4, –2), (9, –3)
3

The factor tree for 1,764 is shown.

Question illustration
A
21
B
42
C
32(72)
D
22(32)(72)
4

Which is the graph of f(x) = ?

Question illustration
A
On a coordinate plane, a parabola opens up with a vertex at (0, 0).
Option A
B
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up through (2, 4).
Option B
C
On a coordinate plane, a parabola opens to the right with a vertex at (0, 0).
Option C
D
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up through (4, 2).
Option D
5

Which statement is true about the function f(x)= ?

Question illustration
A
The domain of the graph is all real numbers.
B
The range of the graph is all real numbers.
C
The domain of the graph is all real numbers less than or equal to 0.
D
The range of the graph is all real numbers greater than or equal to 0.
6

What is the simplified form of ?

Question illustration
A
8x4
B
8x8
C
32x4
D
32x8
7

Which represents the reflection of f(x) = over the x-axis?

Question illustration
A
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2.
Option A
B
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries 1, 0, undefined, undefined.
Option B
C
On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the left through (negative 4, negative 2).
Option C
D
On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the right through (2, negative 4).
Option D
8

What is the simplified form of ?

Question illustration
A
12x6
B
12x18
C
72x6
D
72x18
9

What is the simplified form of ? Assume x ≠ 0.

Question illustration
A
36x3
B
36x2
C
6x3
D
6x2
10

What is the simplified form of ?

Question illustration
A
10
Option A
B
10
Option B
C
50
Option C
D
50
Option D

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