Rational Functions

Simplify the rational function

• 1/(3x)

• 3x(x + 1)

• 3x

• (x + 1)

What is the equation of the vertical asymptote?

• x = 3

• x = -3

• x = 0

• x = -2

Where is the horizontal asymptote?

• y= 5

• y= 0

• y= 1

• y= 6

Are there any "holes" in the graph? If so...where?

• yes, at x= -1

• yes, at x= 1

• yes, at x= 0

• no

Which of the following are true? (there can be more than one answer)

• There is a hole at x=3

• There is a hole at x= -2

• The horizontal asymptote is at y=0

• The domain is {x|x≠2,3}

Where are the vertical asymptotes?

• x= 4

• x= -4

• x= 16

• there are none

Where is the horizontal asymptote?

• y= 2

• y= 0

• y= 1

• none

Where is the horizontal asymptote?

• y= 1

• y= -1

• x= 3

• none

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

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What's the vertical asymptote of the function?

• x = 5

• x = 0

• x =5 , x = -5

• x = 25