AnswersTX-Algebra II BUnit Test

The Cubing Function Answers

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Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options.There are three unique solutions to the function when y=0.The function has a double root.As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.As x approaches negative infinity, y approaches positive infinity.The domain and range of the function are the set of real numbers.

A
There are three unique solutions to the function when y=0.
B
The function has a double root.
C
As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.
D
As x approaches negative infinity, y approaches positive infinity.
E
The domain and range of the function are the set of real numbers.
22
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Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?

A
As x increases, y increases along the entire graph.
B
As x increases, y increases, decreases, and then increases again.
C
As x increases, y decreases, increases, and then decreases again.
D
As x increases, y decreases along the entire graph.
23

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
24

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A
(4, −7)
B
(−4, −7)
C
(4, 7)
D
(−4, 7)
25

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

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