AnswersAlgebra IIThe Cubing Function

The Cubing Function — Quiz Answers

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Graph the function f of x is equal to x cubed minus 4 x minus 1 Which are approximate solutions for x when f of x is equal to 0 ? Choose three correct answers.

A
negative 0 point 2 5
B
0 point 2 5
C
2 point 1 1
D
negative 2 point 1 1
E
negative 1 point 8 6
2
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Graph the function y is equal to x cubed plus 6 x squared plus 2 x minus 11 Based on the graph, what is the largest possible x -value if y is equal to 0 ? Round your answer to the nearest hundredth, if necessary.

A
1 point 1 1
B
13 point 2
C
5 point 2
D
1 point 9
3

Which statements correctly describe the graph of the function f of x is equal to x cubed minus 4 x squared minus 3 x plus 18 ? Choose three correct answers.

A
As x approaches negative infinity, y approaches positive infinity.
B
As x increases from negative infinity to positive infinity, the y -values increase, decrease, and then increase again.
C
There are three unique solutions to the function when y is equal to 0 .
D
The function has a double root.
E
The domain and range of the function are the set of real numbers.
4

The graph of the parent function f of x is equal to x cubed is transformed such that g⁡(x)=−2⁢x^3 How does the graph of g of x compare to the graph of f of x ?

A
g of x is stretched horizontally and reflected over the x -axis.
B
g of x is compressed horizontally and reflected over the line
C
g of x is compressed horizontally and reflected over the y -axis.
D
g of x is stretched horizontally and reflected over the y -axis.
5

Which statements correctly describe the graph of the function f of x is equal to x cubed minus 2 x squared minus 19 x plus 20 ? Choose three correct answers.

A
The graph has a positive y -intercept.
B
The domain of the function is all real numbers.
C
As x approaches negative infinity, y approaches negative infinity.
D
As the x -values increase, the y -values always increase.
E
The range of the function is y is greater than or equal to 20 .
6

Which best describes the graph of the cubic function f of x is equal to x cubed plus x squared plus x plus 1 ?

A
As x increases, y decreases along the entire graph.
B
As x increases, y decreases, increases, and then decreases again.
C
As x increases, y increases along the entire graph.
D
As x increases, y increases, decreases, and then increases again.
7

The graph of the parent function f of x is equal to x cubed is translated to form the graph of g of x is equal to x minus 4 cubed minus 7 The point 0 comma 0 on the graph of f of x corresponds to which point on the graph of g of x ?

A
4 comma 7
B
negative 4 comma 7
C
4 comma negative 7
D
negative 4 comma negative 7
8

The graph of the parent function f of x is equal to x cubed is translated to form the graph of g of x is equal to x plus 5 cubed minus 6 The point 0 comma 0 on the graph of f of x corresponds to which point on the graph of g of x ?

A
negative 5 comma 6
B
5 comma negative 6
C
5 comma 6
D
negative 5 comma negative 6
9

Which best describes the graph of the cubic function f of x is equal to x cubed plus x squared plus x plus 1 ?

A
As x increases, y decreases 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 increases along the entire graph.
10

The graph of the parent function f of x is equal to x cubed is translated to form g of x is equal to x minus 7 cubed plus 9 The point 0 comma 0 on the graph of f of x corresponds to which point on the graph of g of x ?

A
9 comma 7
B
negative 7 comma 9
C
9 comma negative 7
D
7 comma 9

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