Square Root Functions

Question 1

Describe the three errors.

Revolt · Accepted 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.

Question 2

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

Revolt · Accepted Answer

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.

Question 3

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

Revolt · Accepted Answer

D:

Question 4

Which inequality is used to find the domain?

Revolt · Accepted Answer

D:

Question 5

Choose the inverse of y = x2 – 10x.

Revolt · Accepted Answer

D:

Question 6

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

Revolt · Accepted Answer

A: ; B:

Question 7

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?

Revolt · Accepted Answer

B: ✔ 1.34

Question 8

Domain: x <>≤✔ ≥

Revolt · Accepted Answer

D: ✔ ≥

Question 9

✔ – 10+ 10/10(10)

Revolt · Accepted Answer

A: ✔ – 10

Question 10

-5-1✔ 15

Revolt · Accepted Answer

C: ✔ 1

Square Root Functions Answers

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