AnswersTX-Algebra II B-CRUnit Test

Unit Test — Unit test Answers

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21
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Which equation can be simplified to find the inverse of y = x2 – 7?

A
x = y squared minus one-seventh
Option A
B
StartFraction 1 Over x EndFraction = y squared minus 7
Option B
C
x = y2 – 7
D
–x = y2 – 7
22
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Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?

A
–2(x – 2)2 = –8(7 + y)
B
y = one-fourth x squared minus x minus 6
Option B
C
y = negative 2 plus-or-minus StartRoot 28 + 4 x EndRoot
Option C
D
y = 2 plus-or-minus StartRoot 28 + 4 x EndRoot
Option D
23

Which of the following describes the graph of compared to the parent square root function?

Question illustration
A
stretched by a factor of 2, reflected over the x-axis, and translated 9 units right
B
stretched by a factor of 2, reflected over the x-axis, and translated 9 units left
C
stretched by a factor of 2, reflected over the y-axis, and translated 9 units right
D
stretched by a factor of 2, reflected over the y-axis, and translated 9 units left
24

What is the domain of the square root function graphed below?

Question illustration
A
x greater-than 1
Option A
B
x greater-than-or-equal-to 10
Option B
C
x greater-than 3
Option C
D
x greater-than-or-equal-to 3
Option D
25

What is the solution of ?

Question illustration
A
x = 2
B
x = 3
C
x = 2 or x = 3
D
no solution
26

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
27

What is the range of the function ?

Question illustration
A
Negative infinity less-than y less-than infinity
Option A
B
Negative 8 less-than y less-than infinity
Option B
C
0 less-than-or-equal-to y less-than infinity
Option C
D
2 less-than-or-equal-to y less-than infinity
Option D
28

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
29

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
30

How does the graph of compare to the graph of the parent square root function?

Question illustration
A
The graph is a horizontal shift of the parent function 2 units right.
B
The graph is a horizontal shift of the parent function 2 units left.
C
The graph is a vertical shift of the parent function 2 units up.
D
The graph is a vertical shift of the parent function 2 units down.
31

Determine the solution for the following equation:

Question illustration
A
x = 3
B
x = 5
C
x = 13
D
x = 65
32

What is the domain of the square root function graphed below?

Question illustration
A
x less-than-or-equal-to negative 1
Option A
B
x greater-than-or-equal-to negative 1
Option B
C
x less-than-or-equal-to 0
Option C
D
x greater-than-or-equal-to 0
Option D
33

Which equation is related to ?

Question illustration
A
x + 10 = x2 + x + 1
B
x + 10 = x2 + 2x + 1
C
x + 10 = x2 + 1
D
x + 10 = x2 – 1
34

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
35

Which of the following is an extraneous solution of ?

Question illustration
A
x = –8
B
x = –2
C
x = 2
D
x = 8
36

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
37

What is the solution of ?

Question illustration
A
x = twelve-fifths
Option A
B
x = negative twelve-fifths
Option B
C
x = –6 or x = –3
D
no solution
38

Which graph represents ?

Question illustration
A
On a coordinate plane, an absolute value curve opens down and to the right in quadrant 4 and starts at y = negative 4.
Option A
B
On a coordinate plane, an absolute value curve opens down and to the right in quadrant 1 and starts at x = 4.
Option B
C
On a coordinate plane, an absolute value curve opens down and to the right in quadrants 1 and 2 and starts at x = negative 4.
Option C
D
On a coordinate plane, an absolute value curve opens down and to the right in quadrant 1 and starts at y = 4.
Option D
39

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
40

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

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