AnswersAZ-Common Core Algebra II ASquare Root Functions

Square Root Functions Answers

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1
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Find the inverse of the function y = x2 – 12.

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

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B
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C
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D
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3

-5-115

Answer not available
4

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

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5

Which inequality is used to find the domain?

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mc001-1.jpg
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6

Choose the inverse of y = x2 – 10x.

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7

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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8

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
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
Option A
B
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Option B
C
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Option C
D
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Option D
11

Describe the three errors.

Answer:

The three errors are: 1. The student failed to switch both instances of 'x' with 'y' when finding the inverse. 2. Only the principal square root was used instead of both positive and negative roots (plusminus sign). 3. The domain restriction is incorrect; for the radicand to be nonnegative, the inequality sign for x should be properly defined as x > something rather than the incorrect direction provided.

12

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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

Which inequality is used to find the domain?

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

Choose the inverse of y = x2 – 10x.

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

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
16

0.134✔ 1.3411.3413.4

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0.134
B
1.34
C
11.34
D
13.4
17

Domain: x

Answer not available
18

– 10+ 10/10(10)

Answer not available
19

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
20

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

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