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

Authored by Julie Cain

Mathematics

8th - 11th Grade

CCSS covered

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16 questions

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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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Graphing Rational Functions

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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