Graphing Rational Functions

What are the asymptotes?

• x=-1 y = -3

• x=1 y = -3

• x=-1 y =3

• x=1, y=3

What are the asymptotes?

• x = -3        y = 1  

• x = 3         y = 1

• x = -3        y = -1

• x = 3         y = -1

Which of the following represents the graph below?

• 
• 
• 
• 

• All Reals Except 0

• All Reals

• All Reals Except -3

• All Reals Except 0 and -3

Describe the transformations of the function.

• Shift up by 2 units

  Reflected over the x-axis

• Shift down by 2 units

  Reflected over the y-axis

• Shift up by 2 units

  Reflected over the y-axis

• Shift left by 2 units

  Reflected over the x-axis

What is the horizontal asymptote? 

• x = 2

• x = 7

• y = 2

• y = 7

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

• vertical

• horizontal

• slant

• none

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

What is the vertical asymptote? 

• x = 2

• y = 2

• x = 1

• y = 1

How is this function transformed from the parent function?

• Translated left 5 units and up 1 unit

• Translated right 1 unit and up 1 unit

• Translated left 5 units and down 1 unit

• Translated right 5 units and down 1 unit