AnswersTX-Algebra II BUnit Test

Unit Test — Unit test Answers

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21
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Which graph represents ?

Question illustration
A
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
Option A
B
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
Option B
C
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
Option C
D
On a coordinate plane, a cubic function is horizontal and goes through (0, 0).
Option D
22
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Which equation is equivalent to ?

Question illustration
A
x + 9 = x + 10
B
x + 9 = x2 + 20x + 100
C
x2 + 81 = x2 + 100
D
x2 + 81 = x2 + 20x + 100
23

What is the domain of the function ?

Question illustration
A
Negative infinity less-than x less-than infinity
Option A
B
0 less-than-or-equal-to x less-than infinity
Option B
C
3 less-than-or-equal-to x less-than infinity
Option C
D
6 less-than-or-equal-to x less-than infinity
Option D
24

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
25

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
26

Which equation is equivalent to ?

Question illustration
A
x + 11 = 225
B
x + 121 = 225
C
StartRoot x EndRoot = 15 + 11
Option C
D
StartRoot x EndRoot = 15 minus 11
Option D
27

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

Question illustration
A
stretched by a factor of 2 and translated 64 units right and 5 units down
B
stretched by a factor of 8 and translated 8 units right and 5 units down
C
stretched by a factor of 2 and translated 8 units right and 5 units down
D
stretched by a factor of 8 and translated 64 units right and 5 units down
28

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
29

What is the solution of ?

Question illustration
A
x = –3
B
x = 4
C
x = –3 or x = 4
D
no solution
30

Which equation can be rewritten as x + 4 = x2? Assume

Question illustration
A
StartRoot x EndRoot + 2 = x
Option A
B
StartRoot x + 2 EndRoot = x
Option B
C
StartRoot x + 4 EndRoot = x
Option C
D
StartRoot x squared + 16 EndRoot = x
Option D
31

The range of which function includes –4?

A
y = StartRoot x EndRoot minus 5
Option A
B
y = StartRoot x EndRoot + 5
Option B
C
y = StartRoot x + 5 EndRoot
Option C
D
y = StartRoot x minus 5 EndRoot
Option D
32

Which of the following is a radical equation?

A
x + StartRoot 5 EndRoot = 12
Option A
B
x squared = 16
Option B
C
3 + x StartRoot 7 EndRoot = 13
Option C
D
7 StartRoot x EndRoot = 14
Option D
33

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
34

Which equation is the inverse of ?

Question illustration
A
y = one-fifth x squared + six-fifths x + eleven-tenths
Option A
B
y = 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot
Option B
C
Negative 5 y minus 4 = negative (x + 3) squared minus one-half
Option C
D
y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot
Option D
35

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
36

What is the domain of the function ?

Question illustration
A
Negative infinity less-than x less-than infinity
Option A
B
0 less-than x less-than infinity
Option B
C
0 less-than-or-equal-to x less-than infinity
Option C
D
1 less-than-or-equal-to x less-than infinity
Option D
37

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
38

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
39

What is the solution of ?

Question illustration
A
x = 2
B
x = 3
C
x = 2 or x = 3
D
no solution
40

Which statement best describes ?

Question illustration
A
–6 is in the domain of f(x) but not in the range of f(x).
B
–6 is not in the domain of f(x) but is in the range of f(x).
C
–6 is in the domain of f(x) and in the range of f(x).
D
–6 is neither in the domain of f(x) nor in the range of f(x).

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