When finding the Horizontal asymptotes of a function, you should be thinking...

"Look at the Degree of the numerator and denominator.."

When finding the Horizontal asymptotes of a function, you should be thinking...

"Look at the Degree of the numerator and denominator.."

The holes of a rational function occur when :

a factor in the denominator cancels with a factor in the numerator

my pencil pokes a hole in the paper I'm working on

there is something left in the denominator

Does this function have any vertical asymptotes? If so, what are their equations? y = ( x + 3 ) ( x − 4 ) ( x + 7 ) ( x − 4 ) y=\frac{\left(x+3\right)\left(x-4\right)\left(x+7\right)}{\left(x-4\right)} y = ( x − 4 ) ( x + 3 ) ( x − 4 ) ( x + 7 )

Two vertical asymptotes: x = -3 and x = -7

Three vertical asymptotes: x = -3, x = 4, and x = -7

Finding vertical and horizontal asymptotes Practice Problems

10th - 12th Grade

•

37 Qs

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Finding vertical and horizontal asymptotes Practice Problems

Quiz

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSA.APR.D.6, HSF.IF.B.4, HSA.REI.D.10

Standards-aligned

Eric Lindsey

Used 4+ times

FREE Resource

37 questions

Show all answers

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the horizontal asymptote.

y = -2

none

y = 0

y = 1/2

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What are the asymptotes?

x=-2 and y=-1

x=-2 and y=1

x=2 and y=1

x=2 and y = -1

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the equations of the asymptotes of the given graph

x=1, x= 2, y =1, y= 2

x= 2, x= -2, y = 1

x=2 and y= -1

x=1, y =2, y = -2

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the Vertical Asymptotes

x= 0, -2

x= 2

x= -3, 2

x = -3,1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the Vertical Asymptotes of...

x = 0, -5

x=0, 5

x = 2, -7

x = -2, 7

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of these is NOT an asymptote on this graph?

x=-3

x=3

y=2

y=-3

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the Horizontal Asymptote?

None

y= 0

y= 1

y= 5/4

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following represents the graph of $f\left(x\right)=\frac{1}{x^2-16}$ ?

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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Finding vertical and horizontal asymptotes Practice Problems

37 questions

Find the horizontal asymptote.

What are the asymptotes?

What are the equations of the asymptotes of the given graph

Find the Vertical Asymptotes

What are the Vertical Asymptotes of...

Which of these is NOT an asymptote on this graph?

What is the Horizontal Asymptote?

What is the horizontal asymptote to this function?

Which of the following represents the graph of f(x)=1x2−16f\left(x\right)=\frac{1}{x^2-16}f(x)=x2−161​ ?

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Which of the following represents the graph of $f\left(x\right)=\frac{1}{x^2-16}$ ?