Graphs of Rational Functions

Select all the following statements that are true.

• Vertical asymptote at x=1

• Vertical asymptote at x=0

• No vertical asymptote

• Hole at (-1, 0)

• Hole at (1, -1)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

Find the equation of the graph

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• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many discontinuities does f(x) have?

• None

• 1

• 2

• 3

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

How many vertical asymptotes does f(x) have?

• None

• 1

• 2

• 3

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Find the horizontal asymptote of f(x)

• None

• y=6

• y=1/3

• y=3

Tags

CCSS.HSA.APR.D.6

Select all the functions that have a slanted asymptote?

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• 
• 
• 

Tags

CCSS.HSA.APR.D.6

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

• vertical
• horizontal
• slant
• none

Choose the correct graph that matches with the equation.

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Which is the graph of the rational equation:

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• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Write an equation for a rational function with an x-intercept of (–1, 0), a hole at x = 3, and a VA at   x = 4. 

• y= (x-1)(x+3) / (x+4)(x+3)
• y= (x-4)(x-3) / (x+1)(x-3)
• y= (x+1)(x-3) / (x-4)(x-3)
• y= (x+4)(x+3) / (x+1)(x+3)

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.CED.A.2