Basic Rational Functions & Asymptotes

What are the asymptotes?

• $x=-3,\ y=1$

• $x=-3,\ y=-1$

• $x=1,\ y=-3$

• $x=1,\ y=3$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

What is the domain and range?

• D : All real number x ≠ -3
  R: All real number y≠ 1
• D : All real number x ≠ 1
  R: All real number y≠ -3
• D : All real number x ≠ 3
  R: All real number y≠ 1
• D : All real number x ≠ -1
  R: All real number y≠ 3

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Find the domain of the function.  $f(x)=\frac{x^3}{x+8}$  

• x cannot equal to 8

• x cannot equal to 0

• x cannot equal to -8

• All real numbers

Tags

CCSS.HSA.APR.D.7

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Find the domain of the function.  $f(x)=\frac{x}{2x+4}$  

• x cannot equal to 2

• x cannot equal to 1/2

• x cannot equal to -2

• All real numbers

Tags

CCSS.HSF.IF.B.5

What is the horizontal asymptote? 

• x = 2
• x = 7
• y = 2
• y = 7

Tags

CCSS.HSF-IF.C.7D

Which is the graph of the rational equation:

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D

Which function matches this graph?

•  $f\left(x\right)=\frac{-4}{x}-2$ 

•  $f\left(x\right)=\frac{-4}{x}+2$ 

• $f\left(x\right)=\frac{-4}{x-2}$

• $f\left(x\right)=\frac{-4}{x+2}$

Tags

CCSS.HSF-IF.C.7D

Which functions match this graph?

• $f\left(x\right)=\frac{4}{x}+1$

• $f\left(x\right)=\frac{4}{x}-1$

•  $f\left(x\right)=\frac{4}{x+4}$ 

•  $f\left(x\right)=\frac{4}{x-4}$ 

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function matches this graph?

• $f\left(x\right)=\frac{1}{x-1}+2$

• $f\left(x\right)=\frac{1}{x+2}-1$

• $f\left(x\right)=\frac{1}{x+1}+2$

• $f\left(x\right)=\frac{1}{x-2}+1$

Tags

CCSS.HSF-IF.C.7D

How is this function transformed from the parent function?

• Translated left and up
• Translated right and up
• Translated left and down
• Translated right and down

Tags

CCSS.HSF.BF.B.3