For the function $$r(x) = \frac{2x^2 + 5}{x^2 + 1}$$ ,

there are no vertical asymptotes.

there are 2 vertical asymptotes.

For the function $$s(x)=\frac{x+4}{x^2-16}$$ ,

there are no vertical asymptotes.

there are 2 vertical asymptotes.

Determine the end behavior of the function $$t(x) = \frac{6x^2 - x}{3x^2 + 2}$$ . (same as asking about horizontal asymptote)

As $$x \to \infty$$ , $$t(x) \to 2$$

As $$x \to \infty$$ , $$t(x) \to 0$$

As $$x \to \infty$$ , $$t(x) \to 6$$

As $$x \to \infty$$ , $$t(x) \to 3$$

Determine the end behavior of the function $$z(x) = \frac{5x^3 - 2x}{x^3 + 1}$$ .

As $$x \to \infty$$ , $$z(x) \to 5$$

As $$x \to \infty$$ , $$z(x) \to 0$$

As $$x \to \infty$$ , $$z(x) \to 1$$

As $$x \to \infty$$ , $$z(x) \to \infty$$

Determine the end behavior of the graph of f(x) = 3x 4 + 2x - 5 Note: f(x)=y

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) →-∞.

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

As $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$

As $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

As $$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

As $$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

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

As $$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

As $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

As $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$

As $$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

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

As $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

As $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$

As $$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

As $$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

2.6 Asymptotes and End Behavior Quiz + review

Authored by Erin Martin

Mathematics

11th Grade

CCSS covered

Used 2+ times

2.6 Asymptotes and End Behavior Quiz + review

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of the horizontal asymptote of the given function?

y = 2

x = 1

There isn't one

y = 5

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

To find a vertical asymptote, you would______.

set the denominator equal to 0 and solve

set the numerator equal to 0 and solve

do polynomial long division

set the numerator and denominator equal to each other and solve

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

There is no horizontal asymptote

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

There is no vertical asymptote

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

y = 0

slant asymptote only

y = 3

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

no horizontal asymptote

x = 3

Answer explanation

numerator degree > denominator degree
4 is not 1 more than 2, no slant

Tags

CCSS.HSF-IF.C.7D

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2.6 Asymptotes and End Behavior Quiz + review

What is the equation of the horizontal asymptote of the given function?

To find a vertical asymptote, you would______.

numerator degree > denominator degree4 is not 1 more than 2, no slant

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numerator degree > denominator degree
4 is not 1 more than 2, no slant