Square Root Functions

Question 1

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-03-11-20-01-task/mc001-2.jpg

Question 2

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-03-11-20-01-task/mc002-4.jpg

Question 3

Describe the three errors.

Revolt · Accepted 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.

Question 4

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

Revolt · Accepted Answer

The student did not switch both instances of x with y. He should have written x = y2 + 12y.; He wrote only the principal square root instead of using the ± sign.; 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 5

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-03-11-20-03-task/mc001-5.jpg

Question 6

Which inequality is used to find the domain?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-03-11-20-04-task/mc001-4.jpg

Question 7

Domain: x ≤✔ ≥

Revolt · Accepted Answer

✔ ≥

Question 8

-5-1✔ 15

Revolt · Accepted Answer

✔ 1

Question 9

Choose the inverse of y = x2 – 10x.

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-03-11-20-05-task/mc001-4.jpg

Question 10

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

Square Root Functions Answers

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