What is the end behavior as $$x\rightarrow-\infty$$

y approaches 1 $$f\left(x\right)\rightarrow1$$

y approaches negative infinity $$f\left(x\right)\rightarrow-\infty$$

y approaches positive infinity $$f\left(x\right)\rightarrow\infty$$

y approaches 2 $$f\left(x\right)\rightarrow2$$

Describe the end behavior of $$f\left(x\right)=\frac{x^2-9}{x^2-4}$$ as x approaches negative infinity?

1 $$f\left(x\right)\rightarrow1$$

infinity $$f\left(x\right)\rightarrow\infty$$

negative infinity $$f\left(x\right)\rightarrow-\infty$$

9/4 $$f\left(x\right)\ \rightarrow\frac{9}{4}$$

3 $$f\left(x\right)\rightarrow3$$

Describe the end behavior of $$f\left(x\right)=\frac{3x-1}{x^2+4x-2}$$ as $$x\rightarrow\infty$$ ?

0 $$f\left(x\right)\rightarrow0$$

1/3 $$f\left(x\right)\rightarrow\ \frac{1}{3}$$

1/21 $$f\left(x\right)\rightarrow\ \frac{1}{21}$$

3 $$f\left(x\right)\rightarrow3$$

The horizontal asymptote equals zero when:

the degree of the numerator is less than the degree of the denominator

the degree of the numerator and denominator are equal

the degree of the numerator is greater than the degree of the denominator

End Behavior of Rational Function

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-IF.C.7D, HSF-IF.C.7E

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match each rational function with a description of its end behavior as x gets larger and larger.

The value of the expression gets closer and closer to 0.

The value of the expression gets closer and closer to 1.

The value of the expression gets closer and closer to 9.

The value of the expression is 99.

The value of the expression gets larger and larger in the positive direction

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match each rational function with a description of its end behavior as x gets larger and larger.

The value of the expression gets closer and closer to 0.

The value of the expression gets closer and closer to 1.

The value of the expression gets closer and closer to 9.

The value of the expression gets closer and closer to 99.

The value of the expression gets larger and larger in the positive direction (infinity)

Tags

CCSS.HSF-IF.C.7D

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the end behavior of the graph.

x →∞, f(x)→⁻∞ and x →⁻∞,f(x)→⁻∞

x →∞, f(x)→∞ and x→⁻∞, f(x)→∞

x →∞, f(x)→∞ and x→⁻∞, f(x)→2

x →∞,f(x)→2 and x→⁻∞, f(x)→∞

Tags

CCSS.HSF-IF.C.7E

5.

DRAG AND DROP QUESTION

1 min • 1 pt

Complete the end behavior limit on the left
(a)

7

0

∞

-∞

3

6.

DRAG AND DROP QUESTION

1 min • 1 pt

Complete the end behavior limit on the left
(a)

7

0

∞

-∞

3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the end behavior as x approaches negative infinity?

y approaches negative infinity

y approaches positive infinity

y approaches 1

y approaches 2

Tags

CCSS.HSF-IF.C.7D

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End Behavior of Rational Function

20 questions

Match each rational function with a description of its end behavior as x gets larger and larger.

Match each rational function with a description of its end behavior as x gets larger and larger.

Describe the end behavior of the graph.

Complete the end behavior limit on the left
(a)

Complete the end behavior limit on the left
(a)

What is the end behavior as x approaches negative infinity?

Which end behavior limits are correct?

Describe the end behavior of the graph f(x) as x approaches negative infinity?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

End Behavior of Rational Function

20 questions

Match each rational function with a description of its end behavior as x gets larger and larger.

Match each rational function with a description of its end behavior as x gets larger and larger.

Describe the end behavior of the graph.

Complete the end behavior limit on the left​ (a) ​ ​ ​

Complete the end behavior limit on the left​ (a) ​ ​ ​

What is the end behavior as x approaches negative infinity?

Which end behavior limits are correct?

Describe the end behavior of the graph f(x) as x approaches negative infinity?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Complete the end behavior limit on the left
(a)

Complete the end behavior limit on the left
(a)