Rational Functions Characteristics

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

• 
• 
• 
• 

What is the slant asymptote for the equation f(x) = (x² - 4x + 2)/(x + 3)

• y = x -1

• y = x -7

• y = -7x + 23

• y = -2x + 2

What is the slant asymptote for the function?

• y = 12

• y = x - 5

• y = x-5 + 12/(x+2)

• y = 12/(x+2)

• x = 1

• x = 5

• x = -5

• x = 0

A vertical asymptote always has the equation...

• x = __

• y = __

Find the slant asymptote. (x² - 2x - 8) / (x - 2)

• y = x

• y = x - 8

• y = x - 4

• y = x + 4

What are the vertical asymptotes of the function?

• x = 2 and x = 5

• x = -2 and x = -5

• x = 3 and x = -3

• x = 1

What is the vertical asymptote? 

• x = 2

• y = 2

• x = 1

• y = 1

What is the equation of the horizontal asymptote?

• x = 2

• x = 4

• y = 2

• y = 4

What is an asymptote?

• Another name for a vertex

• An imaginary line that the graph does not touch

• A portable cushion used for sporting events

• chemical used to clean dry erase boards