Rational Functions Review

Where does this graph have a hole?  factor first

• x= 4
• x= -4
• x= 5
• x= -5

Does this function have any vertical asymptotes? If so, what are their equations? $y=\frac{x+7}{x^2+9x+14}$  

• No vertical asymptotes.

• Two vertical asymptotes: x = -7 and x = -2 

• One vertical asymptote: x = -7

• One vertical asymptote: x = -2

Does the function have any holes? If so, what are their coordinate pairs? $y=\frac{\left(x+3\right)\left(x-4\right)\left(x+7\right)}{x-4}$   

• No holes

• One hole: (4, 77)

• One hole: (-4, -3)

• Two holes: (-7, 0) and (-3, 0)

What is the Domain of  $y=-\frac{3}{x+3}-2$  ?

•  $x\ne-3$  

•  $y\ne-3$  

•  $x\ne-2$  

•  $y\ne-2$  

• All Real Numbers

What is the hole?

• x= 4
• x= -4
• x= 5
• x= -5

Find the horizontal asymptote.

• None
• y = 0
• y = -1/3
• y = -3

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D