Roots and Vertical Asymptotes of Rational Functions

A rational function in the form shown has

• x= h as its horizontal asymptote and y=k as its vertical asymptote

• x=h as its vertical asymptote and y=k as its horizontal asymptote

• x = -h as its horizontal asymptote and y=k as its vertical asymptote

• x = -h as its vertical asymptote and y=k as its horizontal asymptote

• Not sure what an asymptote is but I feel none of the answers listed are correct

What are the vertical and horizontal asymptotes of the following function?

• horizontal asymptote is -2 and vertical asymptote is 2

• horizontal asymptote is 2 and vertical asymptote is -2

• horizontal asymptote is -6 and vertical asymptote is 2

• horizontal asymptote is 1/2 and vertical asymptote is -6

• horizontal asymptote is 2 and vertical asymptote is -1/2

What are the vertical and horizontal asymptotes of the following function?

• vertical asymptote is 3 and horizontal asymptote is 1

• vertical asymptote is 1 and horizontal asymptote is 3

• vertical asymptote is 1 and horizontal asymptote is -3

• vertical asymptote is -1/3 and horizontal asymptote is 1

• vertical asymptote is 3 and horizontal asymptote is -1/3

• x = -3

• x = 5

• x = -3 and x = 5

• x = 0

• Does Not Exist

State the vertical asymptote:  f(x)=(x-2)/(x+5).

• x = -2/5

• x = -5/2

• x = -5

• x = 2

Find the Vertical Asymptotes for the following function

Find the vertical asymptote.
x²-2x-8
__________
3x-2

• y=2/3

• x=3/2

• x= 2/3

• x=1/3

What are the x-intercept(s) for the function
f(x) = (4x + 12)/(x - 6)

• (-3,0)

• (6,0)

• (0,-2)

• (4,0)

Find both asymptotes.
x+2
______
2x-6

• x=-3 and y=1/2

• x=1/2 and y=3

• x=3 and y =-1/2

• x=3 and y=1/2

Which asymptotes are determined by looking at the denominator of a function? 

• vertical

• horizontal

• slant

• none