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End Behavior and Asymptotes in Functions

End Behavior and Asymptotes in Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explores the concept of end behavior in rational functions, focusing on cases where horizontal or oblique asymptotes do not occur. It explains how to model end behavior using leading terms of polynomials and provides examples to illustrate different scenarios. The tutorial concludes with advanced cases and prepares viewers for further practice in graphing rational functions.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic discussed in this video?

Properties of logarithmic functions

Graphing linear functions

End behavior of rational functions

Solving quadratic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are horizontal and oblique asymptotes considered as?

Special cases of end behavior

Unrelated to end behavior

Methods for solving equations

Types of polynomial functions

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When do horizontal asymptotes occur?

When the degree of the numerator is less than the denominator

When the degree of the numerator is equal to or greater than the denominator

When the degree of the numerator is greater than the denominator by more than one

When the degree of the denominator is equal to or greater than the numerator

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens if the degree of the numerator is greater than the denominator by more than one?

The function becomes undefined

A horizontal asymptote forms

An oblique asymptote forms

End behavior occurs

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is end behavior defined?

By the roots of the polynomial

By the constant term of the polynomial

By the leading terms of the polynomial

By the coefficients of the polynomial

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a positive even power function look like?

A downward opening parabola

An upward opening parabola

A hyperbola

A straight line

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What changes in the graph when the power function is negative?

It becomes a circle

It opens downward

It remains unchanged

It becomes a straight line

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