Rational Functions

What are the asymptotes?

• x=1, x= 2, y =1, y= 2

• x= 2, x=-2, y = 1

• x=2 y =-1

• x=1 y =2, y =-2

Tags

CCSS.HSF-IF.C.7D

What is/are the vertical asymptote(s)?

• x=-2

• x=2 and x=3

• x=-3

• x=3

Tags

CCSS.HSF-IF.C.7D

Find the horizontal asymptote.

• None

• y=-2

• y=2

• y=0

Tags

CCSS.HSF-IF.C.7D

What is the domain?

• x ≠ 3

• x ≠ -1

• x ≠ 3, -1

• x ≠ 3, 1

Label the graph

b

c

d

e

a

x-axis

y-intercept

origin

Horizontal Asymptote

Vertical Asymptote

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph pictured?

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7D

• y = -2

• y = 0

• y = 1/2

• x = 2

• none

Tags

CCSS.HSF-IF.C.7D

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

• (1, 0)

• (-1, 0)

• (1, 0), (-1, 0)

• (0, 0), (1, 0)

Tags

CCSS.HSF-IF.C.7D

Which statements are true for the given rational function. Select all that apply.

• The horizontal asymptote is at y = 0.

• There is a hole at (6, ¾ ).

• The vertical asymptote is at x = -2.

• The x and y intercepts are at the origin.

• The domain is all real numbers except -2.

Tags

CCSS.HSF-IF.C.7D

What creates a hole in the graph of a rational function?

• Crossing the x-axis

• An absence of dirt.

• Crossing a vertical asymptote.

• A factor that cancels out.

Tags

CCSS.HSF-IF.C.7D