Review: Graphing Rational Functions

What are the asymptotes?

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

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 equation of the horizontal asymptote?

• y = 0

• y = -2

• y = 2

• There isn't one

What is the equation of the rational function graphed?

• 
• 
• 
• 

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7

Select all the information that applies to the given rational function.

• V.A. at x = -3 and x = 1

• Hole at (1, 0)

• H.A. at y = 2

• x-intercepts at (3,0) and (1, 0)

What are the solutions?

• x= 2/3
• x= 4, x = -2
• x= -8, x = 1
• x= -4, x = 2

What (if any) holes exist?

• x=2

• x=2 and x=3

• x=-3

• x=3

What is the horizontal asymptote to this function?

• y=4
• y=0
• y=-2
• y=1

What is/are the vertical asymptote(s)?

• x=-2
• x=2 and x=3
• x=-3
• x=3

List the Domain and Range of the function shown

• Domain: (-∞,∞)

  Range: (-∞,∞)

• Domain: (-∞, 2) ∪ (2, ∞)

  Range: (-∞, -3.5) ∪ (-3.5, ∞)

• Domain: (-∞, -4) ∪ (-4, ∞)

  Range: (-∞, -2) ∪ (-2, ∞)

• Domain: (-∞, -2) ∪ (-2, ∞)

  Range: (-∞, -4) ∪ (-4, ∞)