Graphing Rational Functions Warm Up

What is the vertical asymptote? 

• x = 2

• x = 7

• y = 2

• y = 7

Which equation best represents the graph? 

• y=(x-2)/(x-4)

• y=(x+2)/(x+4)

• y=(x+4)/(x-2)

• y=(x+2)/(x-4)

• A
• B
• C
• D

Describe all transformations from the parent function g(x)=1/x to f(x).

• Shift right 5 and shift up 7

• Shift left 7 and shift up 5

• Reflect over the x-axis, shift up 7

• Shift left 5 and shift up 7

Label the graph

b

c

d

e

a

Vertical Asymptote

origin

x-axis

y-intercept

Horizontal Asymptote

What is the equation of the graph pictured?

Mathematical Equivalence

ON

What is the horizontal asymptote? 

• x = 2

• x = 7

• y = 2

• y = 7

Find the horizontal asymptote.

• y = -2

• none

• y = 0

• y = 1/2

Which of these is NOT an asymptote on this graph?

• x=-3

• x=3

• y=2

• y=-3

What is the Vertical Asymptotes? 

• x= -5

• x= 5

• x= 6

• x= -6