Rational Functions

Determine the x-coordinate of the hole on the graph of
f(x)= (x²-2x + 1)/(x²+2x - 3)

• -1

• 3

• 1

• -3

What are the x-intercepts?

• x= 2/3

• x= 4, x = -2

• x= -8, x = 1

• x= -4, x = 2

What is the Horizontal Asymptote?

• y= 6

• y= 2

• y= 1

• y= 0

Write an equation of a rational function that has a V.A. at x = 5, and an x- intercept of (3, 0).

• y= (x-3) / (x-5)

• y= (x+3) / (x+5)

• y= (x+3) / (x-5)

• y= (x-3) / (x+5)

What is the horizontal asymptote?

• y = 0

• y = 1

• y = -1/9

• This graph does not have a horizontal asymptote.

Does the function have a horizontal or slant asymptote?

• horizontal

• slant

Does the function have a horizontal or slant asymptote?

• horizontal

• slant

Find the slant asymptote.

• y = x

• y = x - 8

• y = x - 4

• y = x + 4

Find the equation for the slant asymptote of the following function.

• y = x

• y = x - 3

• y = x - 1

• y = x + 1

What is the horizontal asymptote to this function?

• x=4

• y=0

• none

• y=4