Square Root Functions

Question 1

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

Revolt · Accepted Answer

B:

Question 2

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

Revolt · Accepted Answer

D:

Question 3

Which inequality is used to find the domain?

Revolt · Accepted Answer

D:

Question 4

Choose the inverse of y = x2 – 10x.

Revolt · Accepted Answer

D:

Question 5

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 6

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

Where a = and b = ln: 1.34; Where a = and b = ln: – 10

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

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 9

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

Revolt · Accepted Answer

D:

Question 10

Which inequality is used to find the domain?

Revolt · Accepted Answer

D: mc001-4.jpg

Square Root Functions Answers

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