The Cubing Function Answers

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

Question illustration
A
g(x) = (x + 4)3 + 6
B
g(x) = (x – 4)3 + 6
C
g(x) = (x + 6)3 – 4
D
g(x) = (x – 6)3 – 4
4

Which statements correctly describe the graph of the function f(x) = x3 – 2x2 – 19x + 20? Select three options.As the x-values increase, the y-values always increase. As x approaches negative infinity, y approaches negative infinity.The domain of the function is all real numbers.The range of the function is y 20.The graph has a positive y-intercept.

Question illustration
A
As the x-values increase, the y-values always increase.
B
As x approaches negative infinity, y approaches negative infinity.
C
The domain of the function is all real numbers.
D
The range of the function is y 20.
Option D
E
The graph has a positive y-intercept.
5

The graph of f(x) = x3 – 3x2 + 4 is shown.

Question illustration
A
no real number solution
B
one real number solution
C
two real number solutions
D
three real number solutions
6

The graph of f(x) = x3 – 6x2 + 9x is shown.

Question illustration
A
x = 3
B
x = –3, 0
C
x = 0, 3
D
x = –3, 0, 3
7

The graph of f(x) = x3 − 7x − 6 is shown.

Question illustration
A
x = −6
B
x = −2, −1
C
x = −2, −1, 3
D
x = −6, −2, −1, 3
10

The graph of the parent function f(x) = x3 is transformed such that . Which statements about the graph of g(x) are accurate? Select three options.

Question illustration
A
The graph does not pass through the origin.
B
As x approaches negative infinity, the graph of g(x) approaches infinity.
C
As x approaches infinity, the graph of g(x) approaches infinity.
D
The domain of the function is all real numbers.
E
The range of the function is all real numbers.

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The Cubing Function Answers — TX-Algebra II B-CR