Graphing Rationals

The holes of a rational function occur when :

• my pencil pokes a hole in the paper I'm working on
• there is something left in the denominator
• the value of f(0)
• a factor in the denominator cancels with a factor in the numerator

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

The horizontal asymptote equals zero when:

• the exponents in the numerator and denominator are equal
• the exponents in the denominator are greater than the numerator
• the exponents in the numerator are greater than the denominator
• the numerator equals zero

Tags

CCSS.HSF-IF.C.7D

Find the horizontal asymptote.
4x-16
_______
x²-16

• y=2
• y=1
• y=0
• none

Tags

CCSS.HSF-IF.C.7D

What is the Y-Intercept? 

• (0, 5)
• (0, -6)
• (0, 1)
• (0, -5/6)

Tags

CCSS.HSF-IF.C.7D

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

• vertical
• horizontal
• slant
• none

Tags

CCSS.HSF-IF.C.7D

What is the X-Intercept?

• x= 0
• x= 4
• x= 5
• x= -5

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote to this function?

• y=4
• y=0
• y=-2
• y=1

Tags

CCSS.HSF-IF.C.7D

Simplify the rational function

• 1/(x + 5)

• 1/(x - 5)

• (x - 5)(x + 5)

• (x - 5)/[(x - 5)(x + 5)]

Tags

CCSS.HSA.APR.D.6

Find the coordinates of the hole.

• (-3, -3)

• (-3, 3)

• (3, -3)

• (3, 3)

Tags

CCSS.HSF-IF.C.7D