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End Behavior of a Function

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

End Behavior of a Function
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the end behavior of
f(x) = -5x4 - 2x2 + 8

Left side: Rises  
 Right side: Rises

Left Side:  Rises
Right side: Falls

Left side: Falls
Right side: Rises

Left side: Falls
Right side: Falls

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine the end behavior of the graph of 
f(x) = -7x3 + 2x - 1

As x →∞, f(x) →∞.
As x→-∞, f(x) →-∞.

As x →∞, f(x) →∞.
As x→-∞, f(x) →∞.

As x →∞, f(x) →-∞.
As x→-∞, f(x) →∞.

As x →∞, f(x) →-∞.
As x→-∞, f(x) →-∞.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which description best matches the function shown:

Odd degree with positive leading coefficient.

Even degree with positive leading coefficient.

Degree three, with negative leading coefficient.

Degree four, with negative leading coefficient.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

Leading Coefficient Positive
Degree - Even

Leading Coefficient Positive
Degree - Odd

Leading Coefficient Negative
Degree - Even

Leading Coefficient Negative
Degree - Odd

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the end behavior of the graph?

As x →∞, y→⁻∞ and as x →⁻∞, y→⁻∞

As x →∞, y→∞ and as x→⁻∞, y→∞

As is x →∞, y→∞ and as x→⁻∞, y→2

As x →∞, y→2 and as x→⁻∞, y→∞

Tags

CCSS.HSF-IF.C.7E

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which statement describes the end behavior of the function above?

Tags

CCSS.HSF-IF.C.7E

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Identify the end behavior of the function.

Tags

CCSS.HSF-IF.C.7E

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