Domain for Rational Functions

Simplify

• (n-2)/(n+2)

• (n+2)/(n-2)

• 1/(n+2)

• 1/(n-2)

Which asymptote(s) are determined by looking at the denominator?

• vertical

• horizontal

• end behavior

• none

Find the coordinates of the hole.

• (-3, -3)

• (-3, 3)

• (3, -3)

• (3, 3)

Is there a hole or a vertical asymptote?

• A hole when x = 2

• A vertical asymptote at x = 2

• there is no hole or vertical asymptote

What are the x-intercepts?

• x= 2/3

• x= 4, x = -2

• x= -8, x = 1

• x= -4, x = 2

Factor and cancel out in order to simplify.

• 1/(n-7)

• n-7

• (n-6)/(n-7)

• n-6

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1/2

• y = 1

Find the x-intercept(s), if one exists.

• (1, 0)

• (-1, 0)

• (1, 0), (-1, 0)

• (0, 0), (1, 0)

What are the x-intercepts?

• ( 4, 0) & (-2, 0)

• (-8, 0) & (1, 0)

• (-4, 0) & (2, 0)