Asymptotes & Characteristics of Rational Functions

A vertical asymptote is found by setting the _________= to zero and solving for x 

• Numerator
• Denominator
• Right side 
• Left side

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

What are the asymptotes?

• x = -3        y = 1  
• x = 3         y = 1
• x = -3        y = -1
• x = 3         y = -1

What is the horizontal asymptote?

• x = 2

• y = 2

• x =-2

• y=-2

• x = 1

• x = 5

• x = -5

• x = 0

• y = -7

• x = 7

• y = 1

• x = -7

A vertical asymptote always has the equation...

• x = __

• y = __

Which rational function has a vertical asymptote at x = -3

What's the vertical asymptote of the function?

• x = 5

• x = 0

• x =5 , x = -5

• x = 25

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