Rational Function Asymptotes

• y = 0
• y = 1/2
• y = 2
• None

What is the horizontal asymptote to this function?

• y=4

• y=0

• y=-2

• y=1

What is/are the vertical asymptote(s)?

• x=-2

• x=2 and x=3

• x=-3

• x=3

What type(s) of asymptotes does this function have? (Check all that apply.)
f\left(x\right)=\frac{-3x^2+3}{x^2-4}

• Vertical

• Horizontal

• Oblique

What type(s) of asymptotes does this function have? (Check all that apply.)

• Vertical

• Horizontal

• Oblique

Determine the horizontal asymptote(s) for the following function. f\left(x\right)=\frac{2x-5}{x^2-1}

• Does Not Exist

Select all the following statements that are true for the following function: f\left(x\right) =\frac{x^2-4x+3}{2x^2-2x} Select TWO correct answers.

• Vertical asymptote at x=1

• Vertical asymptote at x=0

• No vertical asymptote

• Hole at (-1, 0)

• Hole at (1, -1)

Determine the horizontal asymptote(s) for the following function. f\left(x\right)=\frac{2x-5}{x^2-1}

• Does Not Exist

For the graph shown in the picture, identify the following: Equation of the vertical asymptote: ​ (a)   Equation of the horizontal asymptote: ​ (b)  

• x = -4

• y = -1

• x = 4

• x = -1

• y = -4

• y = 1