Asymptotes of Rational Functions

Find the vertical asymptote(s) for  y = (3) / (x+2).

• x = 2

• x = 3

• x = -2 

• There are none

What is the horizontal asymptote to this function?

• x=4

• y=0

• none

• y=4

What is the Horizontal Asymptote?

• None

• y= 0

• y= 1

• y= 5/4

Complete this sentence.

There is a vertical asymptote...

• when the denominator equals zero

• when the degree of the numerator is exactly one more than the denominator

• when there is a common factor in the numerator and denominator

• when the degree of the numerator is the same as the denominator

Which is the graph of the rational equation:

• 
• 
• 
• 

Find the vertical asymptote.
x²- 9x+20
___________
4x² - 12x- 40

• y=4

• x=3/2

• x= 4

• x=-2

Which of the following represents the graph below?

• 
• 
• 
• 

A line that the graph continually approaches but never touches is a(n) _____________________

• parabola

• asymptote

• rational function

• None of these

• When x = -4

• When x = 2

• When x = 6

• There is not a hole

Determine the equations of any horizontal and vertical asymptotes of f\left(x\right)=\frac{x^2+10x+24\ }{x^3+6x^2-x-6}

Tags

MA.912.F.1.7