AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PAbsolute Value Inequalities

The Cubing Function Answers

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1
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Which is a cubic function?

A
f(x) = 3x + 1
B
f(x) = 3x2 + x + 2
C
f(x) = 5x3 + 2x + 1
D
f(x) = x3 + x4 + 5
2
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g(x) = (x – [___])3 + [___]

Answer:

-4

92373

The graph of the parent function, f(x) = x3, is translated such that the function g(x) = (x – 4)3 – 1 represents the new graph. Which transformations occurred?

Answers:
Horizontal translation::right 4
Vertical translation::down 1
92374

up 1✔ down 1up 4down 4

A
up 1
B
✔ down 1
C
up 4
D
down 4
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Which values complete the translated function?

Question illustration
Answers:
–:-2
+:-4
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Question text not available

Answer:

-4

92379

The function f(x) = x3 is translated such that the function describing the translated graph is g(x) = (x + 5)3 + 2. Where is the point (0, 0) for the function f now located on the function g?

Answers:
Blank 1:-5
Blank 2:2
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Question text not available

Answer:

2

92381

Which values complete the translated function?

Question illustration
Answers:
x:-2
3:-4
92382

The function f(x) = x3 is translated such that the function describing the translated graph is g(x) = (x + 5)3 + 2. Where is the point (0, 0) for the function f now located on the function g?

Answers:
Blank 1:-5
Blank 2:2
92383

The function h(x) = (x – 3)3 + 1 is graphed on a coordinate grid. Which statements about the graph are true? Check all that apply.The domain of the function is all real numbers.The range of the function is all real numbers.The graph is a translation 3 left and 1 up from the function f(x) = x3.The graph crosses the y-axis once.The graph crosses the x-axis three times.The graph increases from negative infinity to positive infinity.

A
The domain of the function is all real numbers.
B
The range of the function is all real numbers.
C
The graph is a translation 3 left and 1 up from the function f(x) = x3.
D
The graph crosses the y-axis once.
E
The graph crosses the x-axis three times.
F
The graph increases from negative infinity to positive infinity.
92384

Which best describes the roots of the function h(x) = x3 – 4x2 – 3x + 18?

A
no real number solutions
B
1 real number solution
C
2 real number solutions
D
3 real number solutions
92385

Which are solutions to the equation x3 – 5x2 + 2x + 6 = 0? Round each solution to the nearest tenth. Check all that apply.x = –0.9x = 0.8x = 1.7x = 4.2x = 6.0

A
x = –0.9
B
x = 0.8
C
x = 1.7
D
x = 4.2
E
x = 6.0
92386

The function f(x) = –x3 + 2x2 – x + 5 is graphed on a coordinate grid. Which statements accurately describe the end behavior of the graph of the function?

A
As x approaches negative infinity, y approaches positive infinity. As x approaches positive infinity, y approaches negative infinity.
B
As x approaches negative infinity, y approaches positive infinity. As x approaches positive infinity, y approaches positive infinity.
C
As x approaches negative infinity, y approaches negative infinity. As x approaches positive infinity, y approaches negative infinity.
D
As x approaches negative infinity, y approaches negative infinity. As x approaches positive infinity, y approaches positive infinity.
92387

Which is a cubic function?

A
f(x) = 3x + 1
B
f(x) = 3x2 + x + 2
C
f(x) = 5x3 + 2x + 1
D
f(x) = x3 + x4 + 5
92388

The graph of the parent function f(x) = x3 is translated such that the resulting graph can be represented by the function g(x) = (x – 1)3 + 1. Which is the graph of g(x)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
92389

The function h(x) = (x – 3)3 + 1 is graphed on a coordinate grid. Which statements about the graph are true? Check all that apply.The domain of the function is all real numbers.The range of the function is all real numbers.The graph is a translation 3 left and 1 up from the function f(x) = x3.The graph crosses the y-axis once.The graph crosses the x-axis three times.The graph increases from negative infinity to positive infinity.

A
The domain of the function is all real numbers.
B
The range of the function is all real numbers.
C
The graph is a translation 3 left and 1 up from the function f(x) = x3.
D
The graph crosses the y-axis once.
E
The graph crosses the x-axis three times.
F
The graph increases from negative infinity to positive infinity.
92390

Which best describes the roots of the function h(x) = x3 – 4x2 – 3x + 18?

A
no real number solutions
B
1 real number solution
C
2 real number solutions
D
3 real number solutions
92391

Which are solutions to the equation x3 – 5x2 + 2x + 6 = 0? Round each solution to the nearest tenth. Check all that apply.x = –0.9x = 0.8x = 1.7x = 4.2x = 6.0

A
x = –0.9
B
x = 0.8
C
x = 1.7
D
x = 4.2
E
x = 6.0
92392

The function f(x) = –x3 + 2x2 – x + 5 is graphed on a coordinate grid. Which statements accurately describe the end behavior of the graph of the function?

A
As x approaches negative infinity, y approaches positive infinity. As x approaches positive infinity, y approaches negative infinity.
B
As x approaches negative infinity, y approaches positive infinity. As x approaches positive infinity, y approaches positive infinity.
C
As x approaches negative infinity, y approaches negative infinity. As x approaches positive infinity, y approaches negative infinity.
D
As x approaches negative infinity, y approaches negative infinity. As x approaches positive infinity, y approaches positive infinity.

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