What is the domain and range?

D : ( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) \left(-\infty,-3\right)\cup\left(-3,\infty\right) ( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) R: ( − ∞ , 1 ) ∪ ( 1 , ∞ ) \left(-\infty,1\right)\cup\left(1,\infty\right) ( − ∞ , 1 ) ∪ ( 1 , ∞ )

D : ( − ∞ , 1 ) ∪ ( 1 , ∞ ) \left(-\infty,1\right)\cup\left(1,\infty\right) ( − ∞ , 1 ) ∪ ( 1 , ∞ ) R: ( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) \left(-\infty,-3\right)\cup\left(-3,\infty\right) ( − ∞ , − 3 ) ∪ ( − 3 , ∞ )

D : ( − ∞ , 3 ) ∪ ( 3 , ∞ ) \left(-\infty,3\right)\cup\left(3,\infty\right) ( − ∞ , 3 ) ∪ ( 3 , ∞ ) R: \left(-\infty,1\right)\cup\left(1,\infty\right) ( − ∞ , 1 ) ∪ ( 1 , ∞ )

D: ( − ∞ , − 1 ) ∪ ( − 1 , ∞ ) \left(-\infty,-1\right)\cup\left(-1,\infty\right) ( − ∞ , − 1 ) ∪ ( − 1 , ∞ ) R: ( − ∞ , 3 ) ∪ ( 3 , ∞ ) \left(-\infty,3\right)\cup\left(3,\infty\right) ( − ∞ , 3 ) ∪ ( 3 , ∞ )

What is the domain and range?

D:\ \left(-\infty,2\right)\cup\left(2,\infty\right) D : ( − ∞ , 2 ) ∪ ( 2 , ∞ ) R : ( − ∞ , 1 ) ∪ ( 1 , ∞ ) R:\ \left(-\infty,1\right)\cup\left(1,\infty\right) R : ( − ∞ , 1 ) ∪ ( 1 , ∞ )

D : ( − ∞ , 1 ) ∪ ( 1 , ∞ ) D:\ \left(-\infty,1\right)\cup\left(1,\infty\right) D : ( − ∞ , 1 ) ∪ ( 1 , ∞ ) R : ( − ∞ , 2 ) ∪ ( 2 , ∞ ) R:\ \left(-\infty,2\right)\cup\left(2,\infty\right) R : ( − ∞ , 2 ) ∪ ( 2 , ∞ )

D:\ \left(-\infty,2\right)\cup\left(2,\infty\right) D : ( − ∞ , 2 ) ∪ ( 2 , ∞ ) R : ( − ∞ , 1 2 ) ∪ ( 1 2 , ∞ ) R:\ \left(-\infty,\frac{1}{2}\right)\cup\left(\frac{1}{2},\infty\right) R : ( − ∞ , 2 1 ) ∪ ( 2 1 , ∞ )

D : ( − ∞ , − 2 ) ∪ ( − 2 , ∞ ) D:\ \left(-\infty,-2\right)\cup\left(-2,\infty\right) D : ( − ∞ , − 2 ) ∪ ( − 2 , ∞ ) R : ( − ∞ , − 1 ) ∪ ( − 1 , ∞ ) R:\ \left(-\infty,-1\right)\cup\left(-1,\infty\right) R : ( − ∞ , − 1 ) ∪ ( − 1 , ∞ )

Which equation best represents the graph?

y = ( x + 2 ) ( x − 4 ) y=\frac{\left(x+2\right)}{\left(x-4\right)} y = ( x − 4 ) ( x + 2 )

y = ( 2 x ) ( x − 4 ) y=\frac{\left(2x\right)}{\left(x-4\right)} y = ( x − 4 ) ( 2 x )

y = ( x + 2 ) ( x + 4 ) \ y=\frac{\left(x+2\right)}{\left(x+4\right)} y = ( x + 4 ) ( x + 2 )

y = ( x + 4 ) ( x − 2 ) y=\frac{\left(x+4\right)}{\left(x-2\right)} y = ( x − 2 ) ( x + 4 )

Graphing Rational Functions

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Practice Problem

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Medium

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CCSS

HSF-IF.C.7D, 8.F.A.1, HSA.APR.D.6

Standards-aligned

Julie Cain

Used 368+ times

FREE Resource

16 questions

Show all answers

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the Vertical Asymptotes?

x= -5

x= 5

x= 6

x= -6

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What are the asymptotes?

x = -3 y = 1

x = 3 y = 1

x = -3 y = -1

x = 3 y = -1

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What are the asymptotes?

x = -1 y = -3

x = 1 y = -3

x = -1 y = 3

x = 1 y = 3

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following represents the graph below?

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Divide.

undefined

-0

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the horizontal asymptote?

x = 2

x = 7

y = 2

y = 7

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is an asymptote?

an imaginary line that your function never touches

a part of your function

a point on your graph

a type of fruit

Tags

CCSS.HSF-IF.C.7D

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What is the Vertical Asymptotes?

What are the asymptotes?

What are the asymptotes?

Which of the following represents the graph below?

Divide.

What is the horizontal asymptote?

What is an asymptote?

Which asymptote(s) are determined by looking at the denominator?

What is the horizontal asymptote to this function?

Graph the function.

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