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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up 1✔ down 1up 4down 4

A
up 1
B
✔ down 1
C
up 4
D
down 4
7

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.
8

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
9

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
10

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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