Asymptotes of Rational Functions

What is the Vertical Asymptotes? 

• x= -5

• x= 5

• x= 6

• x= -6

What is/are the Vertical Asymptote(s)?

• x= -4

• x= -4, x= 5

• x= -5, x= 5

• x= 4

Identify the vertical asymptote(s).

• x=0

• x=-3

• x=6

• x=-7

• x=3

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

• No vertical asymptotes.

• One vertical asymptote: x = 4

• Two vertical asymptotes: x = -3 and x = -7

• Three vertical asymptotes:  x = -3, x = 4, and x = -7

Where is there a hole on the graph of the function?

• There are no holes.

If the degree of the leading coefficient of the numerator is less than to the degree of the leading coefficient of the denominator of a rational function, which of the following statements has to be true?

• The graph has no asymptote

• The graph of the function has slant asymptote

• The graph of the function has a horizontal asymptote

• None of the above

Which of the following is not a true statement?

• A rational function is a quotient of functions.

• Asymptotes are a common characteristic of rational function.

• An asymptote is a line that a graph approaches, but does not touch.

• Domain and Range of rational functions are always equal.

What is the horizontal asymptote of f\left(x\right)=\frac{3x+1}{x-5}?

• y = 5

• y = 3

• y = 1

• y = 0

• Always true

• Sometimes true

• Never true

• Cannot be determined