Graph Rational Function

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

Tags

CCSS.HSF-IF.C.7D

• x=0
• x=0, x=-3
• x=3
• x=-3

Tags

CCSS.HSF-IF.C.7D

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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.HSF-IF.C.7D

Label the graph

b

c

d

e

a

Horizontal Asymptote

x-axis

origin

Vertical Asymptote

y-intercept

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph pictured?

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7D

• x=3 and x=5
• x=3
• x=5
• x=0

Tags

CCSS.HSF-IF.C.7D

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

Tags

CCSS.HSF-IF.C.7D

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

Tags

CCSS.HSF-IF.C.7D

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

Tags

CCSS.HSF.BF.B.3