AnswersAlgebraic ReasoningThe Cubing Function

The Cubing Function — Quiz Answers

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21
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Which is the graph of the function f of x is equal to x cubed plus x squared plus 4 ?

A
Image with description On a coordinate plane, a curve goes through the point negative 2 comma 2. It increases to a relative maximum near negative 1 comma 6.3. Then it decreases to a relative minimum near 0.3 comma 6 and increases through the point 1 comma 8.
B
Image with description On a coordinate plane, a curve goes through the point negative 4 comma negative 2. It increases to a relative maximum near negative 3 comma 2.3. Then it decreases to a relative minimum near negative 1.7 comma 2 and increases through the point negative 1 comma 6.
C
Image with description On a coordinate plane, a curve goes through the point negative 2 comma 0. It increases to a relative maximum near negative 1 comma 4.3. Then it decreases to a relative minimum near 0.3 comma 4 and increases through the point 1.5 comma 8.
D
Image with description On a coordinate plane, a curve goes through the point negative 2 comma negative 2. It increases to a relative maximum near negative 1 comma 2.3. Then it decreases to a relative minimum near 0.3 comma 2 and increases through the point 1 comma 6.
22
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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
5 point 2
B
1 point 9
C
13 point 2
D
1 point 1 1
23

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
7 comma 9
C
negative 7 comma 9
D
9 comma negative 7
24

Which is the graph of the function f of x is equal to x cubed plus 6 x squared plus 11 x plus 6 ?

A
Image with description On a coordinate plane, a curve goes through the point negative 6 comma negative 6. It intersects the x-axis at the point negative 5 comma 0 and increases to a relative maximum near negative 4.5 comma 0.4. Then it decreases to a relative minimum near negative 3.4 comma negative 0.4 and increases through the point negative 2 comma 6.
B
Image with description On a coordinate plane, a curve goes through the point negative 4 comma negative 8. It increases to a relative maximum near negative 2.5 comma negative 1.6. Then it decreases to a relative minimum near negative 1.4 comma negative 2.4,and increases through the point 0 comma 4.
C
Image with description On a coordinate plane, a curve goes through the point negative 4 comma negative 4. It intersects the x-axis at the point negative 3.5 comma 0 and increases to a relative maximum near negative 2.5 comma 2.4. Then it decreases to a relative minimum near negative 1.4 comma 1.8 and increases through the point 0 comma 8.
D
Image with description On a coordinate plane, a curve goes through the point negative 4 comma negative 6. It intersects the x-axis at the point negative 3 comma 0 and increases to a relative maximum near negative 2.5 comma 0.4. Then it decreases to a relative minimum near negative 1.4 comma negative 0.4 and increases through the point 0 comma 6.
25

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, increases, and then decreases again.
B
As x increases, y increases along the entire graph.
C
As x increases, y increases, decreases, and then increases again.
D
As x increases, y decreases along the entire graph.
26

Which is the graph of the function f of x is equal to x cubed plus x squared plus 4 ?

A
Image with description On a coordinate plane, a curve goes through the point negative 2 comma 2. It increases to a relative maximum near negative 1 comma 6.3. Then it decreases to a relative minimum near 0.3 comma 6 and increases through the point 1 comma 8.
B
Image with description On a coordinate plane, a curve goes through the point negative 2 comma negative 2. It increases to a relative maximum near negative 1 comma 2.3. Then it decreases to a relative minimum near 0.3 comma 2 and increases through the point 1 comma 6.
C
Image with description On a coordinate plane, a curve goes through the point negative 4 comma negative 2. It increases to a relative maximum near negative 3 comma 2.3. Then it decreases to a relative minimum near negative 1.7 comma 2 and increases through the point negative 1 comma 6.
D
Image with description On a coordinate plane, a curve goes through the point negative 2 comma 0. It increases to a relative maximum near negative 1 comma 4.3. Then it decreases to a relative minimum near 0.3 comma 4 and increases through the point 1.5 comma 8.
27

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 open paren x minus 1 close paren cubed plus 2 Which is the graph of g of x , the translated function?

A
Image with description On a coordinate plane, the graph of the parent cubic function is shifted 1 unit right and 2 units up.
B
Image with description On a coordinate plane, the graph of the parent cubic function is shifted 2 units left and 1 unit down.
C
Image with description On a coordinate plane, the graph of the parent cubic function is shifted 1 unit left and 2 units down.
D
Image with description On a coordinate plane, the graph of the parent cubic function is shifted 2 units right and 1 unit up.
28

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
13 point 2
B
5 point 2
C
1 point 9
D
1 point 1 1
29

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
As x approaches negative infinity, y approaches negative infinity.
B
The domain of the function is all real numbers.
C
The graph has a positive y -intercept.
D
The range of the function is y is greater than or equal to 20 .
E
As the x -values increase, the y -values always increase.
30

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 2 point 1 1
B
2 point 1 1
C
negative 1 point 8 6
D
0 point 2 5
E
negative 0 point 2 5
31

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

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