Square Root Functions Answers

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1
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Describe the three errors.

Answer:

The student made three primary errors in their work: 1. They failed to switch both instances of x with y when finding the inverse, which is a necessary first step. 2. When taking the square root, they only included the principal (positive) square root rather than using the ± sign to represent both roots. 3. The domain provided was incorrect; the restriction on x should ensure the radicand is greater than or equal to zero.

3

-5-1✔ 15

A
-5
B
-1
C
✔ 1
D
5
4

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
7

Choose the inverse of y = x2 – 10x.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

✔ – 10+ 10/10(10)

A
✔ – 10
B
+ 10
C
/10
D
(10)
11

⇒ 10

Answer:

10

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Square Root Functions Answers — AZ-Common Core…