Alg 2 6.5 - 6.6 Rational Functions Review

Which of the following represents the graph below?

• 
• 
• 
• 

A rational function is shifted to the right 2 units and shifted up 4 units. Which is a possible equation?

Describe the transformation of the function.

• shift left 3 units

• shift right 3 units

• shift up 3 units

• shift down 3 units

Describe the transformations of the function.

• Shifted right by 4 units

  Shifted down by 7 units

  Stretched Vertically

• Shifted right by 4 units

  Shifted up by 7 units

  Stretched Vertically

• Shifted right by 4 units

  Shifted down by 7 units

  Compressed Vertically

• Shifted left by 4 units

  Shifted down by 7 units

  Compressed Vertically

What is the domain for the following function?

• (-∞, 1) u (1, ∞)

• (-∞, 2) u (2, ∞)

• (-∞, -2) u (-2, ∞)

• (-∞, 4) u (4, ∞)

What is the range for the following function?

• (-∞, 1) u (1, ∞)

• (-∞, 2) u (2, ∞)

• (-∞, -2) u (-2, ∞)

• (-∞, 4) u (4, ∞)

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

• vertical
• horizontal
• slant
• none

How do you determine the Horizontal Asymptote?

• replace all x-values with 0

• replace the y-value with 0 or make the numerator equal 0

• set denominator equal to 0

• compare the degrees of the numerator and denominator

• No asymptote