Graph Rational Functions1

Which of the following functions does NOT have a vertical asymptote?

• (x+3) ∕(x²-5)
• x ∕ (x-3)²
• (x²-4) ∕ (x+2)
• -2 ∕ x

Tags

CCSS.HSA.APR.D.7

• x=3 and x=5
• x=3
• x=5
• x=0

• Asy: x=-4 H:x=-2
  
• Asy: x=-4 H:x=2
• Asy: x=-5 H:x=-4
• Asy: x=4 H:x=-2

• y=3 ∕(x-2)
• y=3 ∕(x-2) -4
• y=3⁄(x+2) -4
• y=3⁄(x+4) -2

• VA:x=2 HA:y=3
• VA:x=2 HA:y=-3
• VA:x=-2 HA:y=-3
• VA:x=-2 HA:y=3

• x=0
• x=0, x=-3
• x=3
• x=-3

•  (−∞,∞)
•  (−∞,0)(0,∞)
•  (−∞,−2)(−2,∞)
•  (−∞,∞)(∞,∞)

Suppose you translate the graph of y=3/x so that the new graph has asymptotes at x=-5 and y=14. What is the equation for the new graph?

•  y=3∕(x-5) +14
• y=3∕(x+5) +14
• y=3∕(x-14) +5
•   y=3∕(x+14) - 5

• x=3
• x=1
• x=-3
• x=-2

Tags

CCSS.HSA.APR.B.3

• x=1, x=-3
• x=-4
• x=1
• x=-4,x=-3