AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Radical Equations and Extraneous Roots

Radical Equations and Extraneous Roots — Unit test Answers

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What is the following quotient?

Question illustration
A
2 StartRoot 3 EndRoot
Option A
B
4
C
2 StartRoot 22 EndRoot
Option C
D
12
3

What is the range of the function ?

Question illustration
A
y greater-than-or-equal-to negative 5
Option A
B
y greater-than-or-equal-to 0
Option B
C
y greater-than-or-equal-to StartRoot 5 EndRoot
Option C
D
y greater-than-or-equal-to 5
Option D
4

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, an absolute value curve opens down and to the right in quadrant 1 and starts at (0, 0).
Option A
B
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at (0, 0).
Option B
C
On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4 and starts at (0, 0). It goes through (5, negative 2).
Option C
D
On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4 and starts at (0, 0). It goes through (5, negative 9).
Option D
5

What is the simplified form of the following expression? Assume .

Question illustration
A
StartFraction 2 (RootIndex 3 StartRoot 6 x squared y squared EndRoot) Over y EndFraction
Option A
B
StartFraction RootIndex 3 StartRoot 12 x squared y EndRoot Over 2 y EndFraction
Option B
C
StartFraction x (RootIndex 3 StartRoot 3 y EndRoot) Over 2 y EndFraction
Option C
D
StartFraction RootIndex 3 StartRoot 6 x squared y squared EndRoot Over 2 y EndFraction
Option D
6

Which equation can be rewritten as x + 4 = x2? Assume

Question illustration
A
StartRoot x EndRoot + 2 = x
Option A
B
StartRoot x + 2 EndRoot = x
Option B
C
StartRoot x + 4 EndRoot = x
Option C
D
StartRoot x squared + 16 EndRoot = x
Option D
7

Which function has the same domain as ?

Question illustration
A
y = StartRoot 2 x EndRoot
Option A
B
y = 2 RootIndex 3 StartRoot x EndRoot
Option B
C
y = StartRoot x minus 2 EndRoot
Option C
D
y = RootIndex 3 StartRoot x minus 2 EndRoot
Option D
8

What is the domain of the function ?

Question illustration
A
Negative infinity less-than x less-than infinity
Option A
B
Negative 1 less-than x less-than infinity
Option B
C
0 less-than-or-equal-to x less-than infinity
Option C
D
1 less-than-or-equal-to x less-than infinity
Option D
9

What is the following quotient?

Question illustration
A
2 ✓ Correct
B
4
C
Option
D
Option
10

What is the domain of the function ?

Question illustration
A
Negative infinity less-than x less-than infinity
Option A
B
0 less-than x less-than infinity
Option B
C
0 less-than-or-equal-to x less-than infinity
Option C
D
1 less-than-or-equal-to x less-than infinity
Option D

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