Graph Rationals

What are the asymptotes?

• x=-2 and y=-1

• x=-2 and y=1

• x=2 and y=1

• x=2 and y = -1

What is the Vertical Asymptotes? 

• x= -5

• x= 5

• x= 6

• x= -6

What type(s) of asymptotes does this function have? (Check all that apply.)

• Vertical

• Horizontal

• Oblique

• No Asymptotes

Give the vertical asymptotes.

• x = 1

• x = -1

• x = 1 and x = -1

• There are no vertical asymptotes.

Label the graph

b

c

d

e

a

Horizontal Asymptote

Vertical Asymptote

x-axis

origin

y-intercept

What is the equation of the graph pictured?

Mathematical Equivalence

ON

What are the asymptotes?

• x = -3        y = 1  

• x = 3         y = 1

• x = -3        y = -1

• x = 3         y = -1

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

What is the horizontal asymptote? 

• x = 2

• x = 7

• y = 2

• y = 7

What is the vertical asymptote? 

• x = 2

• x = 7

• y = 2

• y = 7