AnswersMathematics III ASquare Root Functions

Square Root Functions Answers

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Which equation can be simplified to find the inverse of y = 2x2?

A
StartFraction 1 Over y EndFraction = 2 x squared
Option A
B
y = one-half x squared
Option B
C
–y = 2x2
D
x = 2y2
2
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If , which inequality can be used to find the domain of f(x)?

Question illustration
A
StartRoot x minus 3 EndRoot greater-than-or-equal-to 0
Option A
B
x minus 3 greater-than-or-equal-to 0
Option B
C
StartRoot x minus 3 EndRoot less-than-or-equal-to 0
Option C
D
x minus 3 less-than-or-equal-to 0
Option D
3

Which equation is the inverse of y = 100 – x2?

A
y = plus-or-minus StartRoot 100 minus x EndRoot
Option A
B
y = 10 plus-or-minus StartRoot x EndRoot
Option B
C
y = 100 plus-or-minus StartRoot x EndRoot
Option C
D
y = plus-or-minus StartRoot x minus 100 EndRoot
Option D
4

Which could be the function graphed below?

Question illustration
A
f (x) = StartRoot x EndRoot minus 2
Option A
B
f (x) = StartRoot x minus 3 EndRoot + 1
Option B
C
f (x) = StartRoot 2x + 4 EndRoot
Option C
D
f (x) = StartRoot x + 1 EndRoot + 8
Option D
5

What is the domain of the function ?

Question illustration
A
x greater-than-or-equal-to negative 7
Option A
B
x greater-than-or-equal-to negative 6
Option B
C
x greater-than-or-equal-to 6
Option C
D
x greater-than-or-equal-to 7
Option D
6

Which equation is the inverse of y = 2x2 – 8?

A
y = plus-or-minus StartRoot StartFraction x + 8 Over 2 EndFraction EndRoot
Option A
B
y = StartFraction plus-or-minus StartRoot x + 8 EndRoot Over 2 EndFraction
Option B
C
y = plus-or-minus StartRoot StartFraction x Over 2 EndFraction + 8 EndRoot
Option C
D
y = StartFraction plus-or-minus StartRoot x EndRoot Over 2 EndFraction + 4
Option D
7

If , which inequality can be used to find the domain of f(x)?

Question illustration
A
StartRoot one-half x EndRoot greater-than-or-equal-to 0
Option A
B
One-half x greater-than-or-equal-to 0
Option B
C
One-half x minus 10 greater-than-or-equal-to 0
Option C
D
StartRoot one-half x minus 10 EndRoot + 3 greater-than-or-equal-to 0
Option D
8

What is the domain of the function ?

Question illustration
A
Negative infinity less-than x less-than infinity
Option A
B
Negative 4 less-than-or-equal-to x less-than infinity
Option B
C
0 less-than-or-equal-to x less-than infinity
Option C
D
4 less-than-or-equal-to x less-than infinity
Option D
9

Which equation is the inverse of y = 16x2 + 1?

A
y = plus-or-minus StartRoot StartFraction x Over 16 EndFraction minus 1 EndRoot
Option A
B
y = StartFraction plus-or-minus StartRoot x minus 1 EndRoot Over 16 EndFraction
Option B
C
y = StartFraction plus-or-minus StartRoot x EndRoot Over 4 EndFraction minus one-fourth
Option C
D
y = StartFraction plus-or-minus StartRoot x minus 1 EndRoot Over 4 EndFraction
Option D
10

Which equation can be simplified to find the inverse of y = 5x2 + 10?

A
x = 5y2 + 10
B
StartFraction 1 Over y EndFraction = 5 x squared + 10
Option B
C
–y = 5x2 + 10
D
y = one-fifth x squared + one-tenth
Option D

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