Answers26.27 TCEC ALGEBRA 2.1Square Root Functions

Square Root Functions Answers

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

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

A
Option
B
Option
C
Option
D
Option
3

-5-1✔ 15

A
-5
B
-1
C
✔ 1
D
5
4

ln > [___]

Answer:

10

7

Choose the inverse of y = x2 – 10x.

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

Domain: x ≤✔ ≥

A
<
B
>
C
≤
D
✔ ≥
12

✔ – 10+ 10/10(10)

A
✔ – 10
B
+ 10
C
/10
D
(10)
13

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

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
14

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

A
mc002-1.jpg
Option A
B
mc002-2.jpg
Option B
C
mc002-3.jpg
Option C
D
mc002-4.jpg
Option D
17

Describe the three errors.

Answer:

The student did not switch both instances of x with y; the first line should be x = y² + 12y. The student used only the principal square root instead of ±√(−11x). Also, the domain condition is wrong: the radicand is nonnegative when x ≤ 0, not x ≥ 0.

18

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
19

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

Question illustration
A
mc001-2.jpg
Option A
B
mc001-3.jpg
Option B
C
mc001-4.jpg
Option C
D
mc001-5.jpg
Option D
21

Domain: x ≤✔ ≥

Answer not available
22

-5-1✔ 15

Answer not available
27

Which inequality is used to find the domain?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D

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