AnswersAZ-Common Core Algebra II ASquare Root Functions

Square Root Functions Answers

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1
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Check your answer. Did you identify these three errors correctly?

A
The student did not switch both instances of x with y. He should have written x = y2 + 12y.
B
He wrote only the principal square root instead of using the ± sign.
C
The domain is incorrect. For the radicand to be greater than or equal to zero, x must be less than or equal to zero. It should be x 0.
Option C
2
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Domain: x

Answer not available
3

-5-115

Answer not available
4

ln > [___]

Answer:

10

5

What is the domain of the function f(x) = ?

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6

Which inequality is used to find the domain?

A
mc001-1.jpg
Option A
B
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Option B
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Option C
D
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Option D
7

Choose the inverse of y = x2 – 10x.

Answer not available
8

Use what you know about domain to select all of the following functions that could be the one graphed.

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Option A
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9

Suppose the Santa Monica has a hull length that is 10 ft shorter than that of the Nina Pinta. What expression represents the hull speed of the Santa Monica in terms of the length, ln of the Nina Pinta? Where a = and b = ln What are the restrictions on ln? ln >

Answers:
Selection 1:1.34
Selection 2:– 10
10

Find the inverse of the function y = x2 – 12.

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Option A
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11

Describe the three errors.

Answer:

The student did not switch both instances of x with y; the first line should be x = y² + 12y. He used only the principal square root instead of ±. He also gave the wrong domain: because the radicand is -11x, x must be less than or equal to 0.

12

Which inequality is used to find the domain?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

Choose the inverse of y = x2 – 10x.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

Use what you know about domain to select all of the following functions that could be the one graphed.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Suppose the Santa Monica has a hull length that is 10 ft shorter than that of the Nina Pinta. What expression represents the hull speed of the Santa Monica in terms of the length, ln of the Nina Pinta?

Answers:
Where a = and b = ln:1.34
Where a = and b = ln:– 10
16

Suppose the Santa Monica has a hull length that is 10 ft shorter than that of the Nina Pinta. What expression represents the hull speed of the Santa Monica in terms of the length, ln of the Nina Pinta?

Answers:
Where a = and b = ln:1.34
Where a = and b = ln:– 10
17

– 10+ 10/10(10)

Answer not available
18

Find the inverse of the function y = 2x2 + 2.

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19

Domain: x ≤✔ ≥

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<
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>
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≤
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✔ ≥
20

✔ – 10+ 10/10(10)

A
✔ – 10
B
+ 10
C
/10
D
(10)

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