End Behavior of Rational Function

• 𝑓(𝑥) → ∞ as 𝑥 → ∞, and 𝑓(𝑥) → −∞ as 𝑥 → −∞

• 𝑓(𝑥)→0 as𝑥→∞, and𝑓(𝑥)→−∞ as𝑥→−∞

• 𝑓(𝑥)→0 as𝑥→∞, and𝑓(𝑥)→0 as𝑥→−∞

• 𝑓(𝑥)→−∞ as𝑥→∞, and𝑓(𝑥)→0 as𝑥→−∞

• Domain: (−∞, ∞) 

  Range: (−∞, ∞)

• Domain: (−∞, 0) ∪ (0, ∞) 

  Range: (−∞, 0) ∪ (0, ∞)

• Domain: (−∞, ∞) 

  Range: (0, ∞)

• Domain: (0, ∞) 

  Range: (−∞, ∞)

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

When finding the Horizontal asymptotes of a function, you should be thinking...

• "Set Bottom = to Zero"
• "Top = 0"
• "f(0)"
• "Look at the Degree of the top and bottom..."

What is the definition of an ASYMPTOTE?

• A dotted line.

• A line that a graph can never touch.

• A line that only lives on the first quadrant.

• A line that a curve approaches, as it heads towards infinity.

Find the horizontal asymptote.

• y = -2
• none
• y = 0
• y = 1/2

What is the Vertical Asymptotes? 

• x= -5
• x= 5
• x= 6
• x= -6