Rational Functions Asymptotes, Holes, and Graphs

Simplify. 

• (x+6)/(x+4)
• (x+6)(x+4)
• (x+6)
• (x+6)/(x-5)

Simplify.

• 1/(n-7)
• n-7
• (n-6)/(n-7)
• n-6

Reduce, or simplify

the rational expression.

• ( x + 5 )( x - 5 ) / ( x + 5 )( x - 2 )

• ( x - 5 ) / ( x - 2 )

• ( x + 5 ) / ( x - 2 )

• -25 / ( 3x - 10 )

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

• 
• 
• 
• 

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

• 
• 
• 
• 

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1

• y = 9

What's the vertical asymptote of the function?

• x = 5

• x = 0

• x =5 , x = -5

• x = 25

A vertical asymptote is found by setting the _________= to zero and solving for x 

• Numerator
• Denominator
• Right side 
• Left side

How do you determine the Horizontal Asymptote?

• replace all x-values with 0

• replace the y-value with 0 or make the numerator equal 0

• set denominator equal to 0

• compare the degrees of the numerator and denominator

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