AnswersAlgebra IIGraphing Polynomial Functions

Graphing Polynomial Functions — Quiz Answers

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At which root does the graph of f of x is equal to open paren x plus 4 close paren to the 6th power times open paren x plus 7 close paren to the 5th power cross the x -axis?

A
7
B
negative 7
C
negative 4
D
4
2
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What is the end behavior of the graph of the polynomial function f of x is equal to 3 x to the 6th power plus 30 x to the 5th power plus 75 x to the 4th power ?

A
As x rightarrow negative infinity , y rightarrow negative infinity and as x rightarrow infinity , y rightarrow negative infinity .
B
As x rightarrow negative infinity , y rightarrow infinity and as x rightarrow infinity , y rightarrow infinity .
C
As x rightarrow negative infinity , y rightarrow infinity and as x rightarrow infinity , y rightarrow negative infinity .
D
As x rightarrow negative infinity , y rightarrow negative infinity and as x rightarrow infinity , y rightarrow infinity .
3

At which root does the graph of f of x is equal to open paren x minus 5 close paren cubed times open paren x plus 2 close paren squared touch the x -axis?

A
5
B
negative 2
C
2
D
negative 5
4

Which statement describes the graph of f of x is equal to 4 x to the 7th power plus 40 x to the 6th power plus 100 x to the 5th power ?

A
The graph touches the x -axis at x is equal to 0 and crosses the x -axis at x is equal to 5 .
B
The graph touches the x -axis at x is equal to 0 and crosses the x -axis at x is equal to negative 5 .
C
The graph crosses the x -axis at x is equal to 0 and touches the x -axis at x is equal to 5 .
D
The graph crosses the x -axis at x is equal to 0 and touches the x -axis at x is equal to negative 5 .
5

What is the end behavior of the graph of the polynomial function f of x is equal to 2 x cubed minus 26 x minus 24 ?

A
As x rightarrow negative infinity , y rightarrow infinity and as x rightarrow infinity , y rightarrow infinity .
B
As x rightarrow negative infinity , y rightarrow negative infinity and as x rightarrow infinity , y rightarrow infinity .
C
As x rightarrow negative infinity , y rightarrow infinity and as x rightarrow infinity , y rightarrow negative infinity .
D
As x rightarrow negative infinity , y rightarrow negative infinity and as x rightarrow infinity , y rightarrow negative infinity .
6

Which graph has the same end behavior as the graph of f of x is equal to negative 3 x cubed minus x squared plus 1 ?

A
Image with description On a coordinate plane, a polynomial graph is drawn. It starts from quadrant 2 and moves to quadrant 3 crossing the negative x axis 5 units from the origin. It then curves up, passes through negative x axis 1 units from the origin, crosses the positive y axis 0 point 5 units from the origin, and again crosses the positive x axis 1 unit from the origin. It then moves through quadrant 4.
B
Image with description On a coordinate plane a parabola opening downwards is drawn. Its vertex is on the positive y axis, 2 units from the origin.
C
Image with description On a coordinate plane, a polynomial graph is drawn. It starts from quadrant 3, moves to quadrant 2 passing through the negative x axis, 1 point2 units from the origin. It ten curves down, crosses the positive y axis, 2 units from the origin, curves up and passes through quadrant 1.
D
Image with description On a coordinate plane a parabola opening upwards is drawn. Its vertex is on the positive y axis, 2 units from the origin.
7

Which statement describes the graph of f of x is equal to negative x to the 4th power plus 3 x cubed plus 10 x squared ?

A
The graph crosses the x -axis at x is equal to 0 and touches the x -axis at x is equal to negative 5 and x is equal to 2 .
B
The graph touches the x -axis at x is equal to 0 and crosses the x -axis at x is equal to negative 5 and x is equal to 2 .
C
The graph touches the x -axis at x is equal to 0 and crosses the x -axis at x is equal to 5 and x is equal to negative 2 .
D
The graph crosses the x -axis at x is equal to 0 and touches the x -axis at x is equal to 5 and x is equal to negative 2 .
8

Which graph shows the same end behavior as the graph of f of x is equal to 2 x to the 6th power minus 2 x squared minus 5 ?

A
Image with description On a coordinate plane, a polynomial graph is drawn. It starts from quadrant 2, moves down and crosses negative x axis 2 units from the origin, moves up and crosses the positive y axis 2 point 5 units from the origin, it moves to quadrant 4, curves down and passes through positive x axis, 2 units from the origin, and passes through quadrant 4.
B
Image with description On a coordinate plane a polynomial graph is drawn. The graph starts from quadrant 3, touches the x axis 5 units left of the origin, moves down, crosses the y axis 5 units below the origin, curves up and passes through the x axis 4 units to the right of the origin, and move through quadrant 1.
C
Image with description On a coordinate plane a polynomial graph is drawn. It starts from quadrant 2, moves down, touches the negative x axis, 2 units from the origin, curves up and passes through the positive y axis. It curves down and touches positive x axis two units from the origin and moves through quadrant 1.
D
Image with description On a coordinate plane a polynomial graph is drawn. It starts from quadrant 3, moves up and touches the negative x axis 5 units from the origin, curves down and passes through negative y axis, curves up, touches the positive x axis 5 units from the origin and curves down and passes through quadrant 4.
9

Which statement describes the graph of f of x is equal to negative 4 x cubed minus 28 x squared minus 32 x plus 64 ?

A
The graph touches the x -axis at x is equal to negative 4 and crosses the x -axis at x is equal to 1 .
B
The graph touches the x -axis at x is equal to 4 and crosses the x -axis at x is equal to negative 1 .
C
The graph crosses the x -axis at x is equal to negative 4 and touches the x -axis at x is equal to 1 .
D
The graph crosses the x -axis at x is equal to 4 and touches the x -axis at x is equal to negative 1 .
10

Which of the following describes the zeroes of the graph of f of x is equal to 3 x to the 6th power plus 30 x to the 5th power plus 75 x to the 4th power ?

A
negative 5 with multiplicity 2 and 0 with multiplicity 4
B
5 with multiplicity 2 and 0 with multiplicity 4
C
negative 5 with multiplicity 2 and 1 third with multiplicity 4
D
5 with multiplicity 2 and 1 third with multiplicity 4

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