AnswersAlgebra II - MA3111 A-ICThe Cubing Function

The Cubing Function — Unit test Answers

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1
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Solve for in the equation .

Question illustration
A
x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction
Option A
B
x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction
Option B
C
x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Option C
D
x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Option D
2
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Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

A
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 15 EndRoot Over 11 EndFraction
Option A
B
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction 2 StartRoot 15 EndRoot Over 11 EndFraction
Option B
C
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 7 EndRoot Over 11 EndFraction
Option C
D
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 7 EndRoot i Over 11 EndFraction
Option D
3

An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground?h(t) = at2 + vt + h0

A
1.9 s
B
2.4 s
C
9.7 s
D
40.7 s
4

What are the values of x in the equation x2 – 6x + 9 = 25?

A
x = –2 or x = 8
B
x = –1 or x = –11
C
x = 1 or x = 11
D
x = 2 or x = –8
5

Solve for in the equation .

Question illustration
A
x = 3 plus-or-minus StartRoot 23 EndRoot
Option A
B
x = 3 plus-or-minus StartRoot 51 EndRoot
Option B
C
x = 3 plus-or-minus StartRoot 41 EndRoot
Option C
D
x = 3 plus-or-minus StartRoot 5 EndRoot
Option D
6

The parent function f(x) = x3 and its translation, g(x), are shown on the graph.

Question illustration
A
g(x) = (x – 5)3 + 3
B
g(x) = (x + 3)3 – 5
C
g(x) = (x – 3)3 + 5
D
g(x) = (x + 5)3 – 3
7

For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

A
m greater-than negative StartFraction 25 Over 8 EndFraction
Option A
B
m less-than negative StartFraction 25 Over 8 EndFraction
Option B
C
m less-than StartFraction 25 Over 8 EndFraction
Option C
D
m greater-than StartFraction 25 Over 8 EndFraction
Option D
8

What is the greatest possible integer value of x for which is an imaginary number?

Question illustration
A
3
B
4
C
5
D
6
9

Which equation is the inverse of y = x2 – 36?

A
y = plus-or-minus StartRoot x EndRoot + 6
Option A
B
y = plus-or-minus StartRoot x + 36 EndRoot
Option B
C
y = plus-or-minus StartRoot x EndRoot + 36
Option C
D
y = plus-or-minus StartRoot x squared + 36 EndRoot
Option D
10

When graphed, which parabola opens downward?

A
y = –3x2
B
y = (x – 3)2
C
y = one-third x squared
Option C
D
y = x2 – 3
11

Which equation is the inverse of y = 7x2 – 10?

A
y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction
Option A
B
y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot
Option B
C
x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot
Option C
D
y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction
Option D
12

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

Question illustration
A
StartRoot 4 x EndRoot greater-than-or-equal-to 0
Option A
B
4 x + 9 greater-than-or-equal-to 0
Option B
C
4 x greater-than-or-equal-to 0
Option C
D
StartRoot 4 x + 9 EndRoot + 2 greater-than-or-equal-to 0
Option D
13

What is the value of i 97 – i?

A
–i
B
0
C
–2i
D
i Superscript 96
Option D
14

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

What is the value of i 20+1?

A
1
B
–1
C
–i
D
i

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