Asymptotes

What is the definition of an ASYMPTOTE?

• A curved line. 
• A line that only touches the origin. 
• A line that only lives on the first quadrant. 
• A line that a curve approaches, as it heads towards infinity. 

Tags

CCSS.HSF-IF.C.7D

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.HSA.APR.B.2

CCSS.HSA.APR.D.7

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

• vertical
• horizontal
• slant
• none

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 numerator are less than the denominator
• the exponents in the numerator are greater than the denominator
• the numerator equals zero

Tags

CCSS.HSF-IF.C.7D

Find the vertical asymptote(s) (if any) of the graph of the function.
 3x / (x² - 9)

• x=3
• x=0
• None
• X=3, x=-3

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote to this function?

• x=4
• y=0
• none
• y=4

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x=-2 and y=-1
• x=-2 and y=1
• x=2 and y=1
• x=2 and y = -1

Tags

CCSS.HSF-IF.C.7D

Find the horizontal asymptote.

• y = -2
• none
• y = 0
• y = 1/2

Tags

CCSS.HSF-IF.C.7D

• y = 0
• y = 1/2
• y = 2
• None

Tags

CCSS.HSF-IF.C.7D

What are the equations of the asymptotes of the given graph

• x=1, x= 2, y =1, y= 2
• x= 2, x= -2, y = 1
• x=2 and  y= -1
• x=1, y =2, y = -2

Tags

CCSS.HSF-IF.C.7D