AnswersAlgebra IIGraphs of Polynomial Functions

Graphs of Polynomial Functions — Quiz Answers

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1
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Which graph shows a polynomial function with a positive leading coefficient?

A
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a polynomial graph is drawn. It passes through (negative 5 comma 8), (negative 3 point 5 comma negative 2 point 5), (0 comma 2), (3 comma negative 1 point 5), (5 point 2 comma 1) and (7 comma negative 8).
B
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a polynomial graph is drawn. It passes through (negative 1 point 8 comma negative 8), (negative 0 point 8 comma negative 4 point 5), (0 point 8 comma negative 5 point 4) and (3 comma 3).
C
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a polynomial graph is drawn. It passes through (negative 8 comma negative 8), (negative 4 point 5 comma 2 point 2), (0 comma 1), (4 point 5 comma 2 point 2) and (8 comma negative 8).
D
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a parabola opening downward is drawn. It passes through (negative 4 comma negative 8) and (4 comma negative 8). It has its vertex at (0 comma 0).
2
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Which graph shows a polynomial function of an even degree?

A
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a polynomial graph is drawn. It passes through (negative 5 point 5 comma negative 8), (negative 4 comma 7), (0 comma negative 1), (2 point 5 comma 0 point 2), (5 point 6 comma negative 4 point 8) and (7 point 5 comma 8).
B
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a polynomial graph is drawn. It passes through (negative 2 point 8 comma negative 8), (negative 1 point 5 comma 5), (1 point 5 comma 5), and (2 point 8 comma negative 8).
C
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a polynomial graph is drawn. It passes through (negative 6 comma 8), (negative 1 comma 0), (1 comma 0), and (6 comma negative 8).
D
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a polynomial graph is drawn. It passes through (negative 2 point 5 comma negative 8), (negative 1 comma 2), (1 comma negative 2), and (2 point 5 comma negative 8).
3

Which graph shows a polynomial function with a negative leading coefficient?

A
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a parabola opening downward is drawn. It passes through (negative 2 comma negative 8) and (3 comma negative 8). It has its vertex at (0 point 5 comma 1 point 8).
B
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a polynomial graph is drawn. It passes through (negative 5 point 5, negative 8), (negative 4 comma 3 point 5), (negative 0 point 5 comma negative 8), (4 comma 1), (6 point 2 comma negative 1 point 5) and (6 comma 8)
C
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a polynomial graph is drawn. It passes through (negative 6 point 8 comma negative 8), (negative 5 comma 3), (negative 3 comma negative 3) and (negative 1 point 2 comma 8)
D
Image with description On a coordinate plane with x and y axes marked from negative 8 to 8, a parabola opening upward is drawn. It passes through (negative 3 comma 6) and (3 comma 6). It has its vertex at (0 comma negative 3).
4

What are the possible degrees for the polynomial function?

A
odd degrees of 5 or greater
B
degrees of 5 or greater
C
even degrees of 4 or greater
D
degrees of 4 or greater
6

How many turning points are in the graph of the polynomial function?

A
5 turning points
B
3 turning points
C
4 turning points
D
2 turning points
7

Which of the following describes the polynomial function?

A
The function has one turning point.
B
The function has zero x -intercepts.
C
The function has a negative leading coefficient.
D
The function has an odd degree.
8

What is the end behavior of the polynomial function?

A
As x rightarrow infinity , then y rightarrow negative infinity .
B
As x rightarrow negative infinity , then y rightarrow negative infinity .
C
As x rightarrow negative infinity , then y rightarrow 0 .
D
As x rightarrow infinity , then y rightarrow 0 .
9

What is the end behavior of the polynomial function?

A
As x rightarrow infinity , y rightarrow 5 .
B
As x rightarrow negative infinity , y rightarrow negative infinity .
C
As x rightarrow infinity , y rightarrow 7 .
D
As x rightarrow infinity , y rightarrow infinity .
10

Which of the following describes the polynomial function?

A
The function has an even degree.
B
The function has zero turning points.
C
The function has one x -intercept.
D
The function has a negative leading coefficient.

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