Describe the end behavior of the graph.

x →∞,f(x)→2 and x→⁻∞, f(x)→∞

x →∞, f(x)→⁻∞ and x →⁻∞,f(x)→⁻∞

x →∞, f(x)→∞ and x→⁻∞, f(x)→∞

x →∞, f(x)→∞ and x→⁻∞, f(x)→2

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

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 the function

x →∞,f(x)→2 and x→⁻∞, f(x)→∞

x →∞, f(x)→⁻∞ and x →⁻∞,f(x)→⁻∞

x →∞, f(x)→∞ and x→⁻∞, f(x)→∞

x →∞, f(x)→∞ and x→⁻∞, f(x)→2

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

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

End Behavior Rational

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

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

Standards-aligned

Anthony Clark

FREE Resource

15 questions

Show all answers

1.

DROPDOWN QUESTION

1 min • 1 pt

Tags

CCSS.HSF-IF.C.7D

2.

DROPDOWN QUESTION

1 min • 1 pt

Tags

CCSS.HSF-IF.C.7D

3.

DROPDOWN QUESTION

1 min • 1 pt

Tags

CCSS.HSF-IF.C.7D

4.

DROPDOWN QUESTION

1 min • 1 pt

Tags

CCSS.HSF-IF.C.7D

5.

DROPDOWN QUESTION

1 min • 1 pt

Tags

CCSS.HSF-IF.C.7D

6.

DROPDOWN QUESTION

1 min • 1 pt

Tags

CCSS.HSF-IF.C.7D

7.

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

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End Behavior Rational

15 questions

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

Describe the end behavior of the graph.

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

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