Graphing Rational Functions with Holes

Find the Vertical Asymptotes

• x= 0, -2

• x= 2

• x= -3, 2

• x = -3,1

Find the vertical asymptote(s).

• x = 3 and x = -7

• x = 3

• x = -7

• x = -4

Find the coordinates of the hole.

• (-3, -3)

• (-3, 3)

• (3, -3)

• (3, 3)

Find the x intercept (s)

• (5, 0) and (-4, 0)

• (-5, 0) and (5, 0)

• (-5, 0)

• (0, 0)

What type of discontinuity does this function have?

• VA

• VA and hole

• hole

• none

Does this have a horizontal or oblique asymptote?

• HA at y=2

• HA at y=0

• No HA or OA

• OA (find using long division)

Does this have a horizontal or oblique asymptote?

• HA at y=2

• HA at y=0

• No HA or OA

• OA (find using long division)

Does this have a horizontal or oblique asymptote?

• HA at y=2

• HA at y=0

• No HA or OA

• OA (find using long division)

Does this have a horizontal or oblique asymptote?

• HA at y=2

• HA at y=0

• No HA or OA

• OA (find using long division)

What type of discontinuity does this function have?

• VA

• VA and hole

• hole

• none