Chapter 9 Review (Rational Functions)

What is the Vertical Asymptotes? 

• x= -5
• x= 5
• x= 6
• x= -6

What is the Horizontal Asymptote? 

• y= 5
• y= -6
• y= 1
• y= 5/-6

Where does this graph have a hole?  factor first

• (4,9/8)

• (-4,1)

• (5, 10/9)

• (-5,0)

• A
• B
• C
• D

Simplify
(x² + 7x + 10)/(x²+6x+5)

• (x+5)/(x+1)
• (x-2)/(x-1)
• (x+5)/(x-1)
• (x+2)/(x+1)

Simplify.

• 2p
• p/2
• 2/p
• 4p

Multiply and Simplify 

• 4(x+3)/(x+2),
• (x+2)/4(x+1)
• (x+2)/4(x+3),
• 4(x+1)/(x+2), 

Divide and Simplify

• A
• B
• C
• D

Ralph can paint a room in 2 hours, and Joy can paint the same room in 3 hours. If they work together, how long would it take them to paint the room?

• 1.2 hours
• 1.1 hours
• 1 hour
• 1.4 hours

Choose all of the functions that have a hole:

•  $f\left(x\right)=\frac{x^2+7x}{x^2-6x-7}$  

•  $f\left(x\right)=\frac{\left(x+8\right)\left(x-2\right)}{\left(x+2\right)\left(x+8\right)}$  

•  $f\left(x\right)=\frac{x-5}{\left(x+5\right)\left(x-1\right)}$  

•  $f\left(x\right)=\frac{x^2-9}{2x-6}$  

•  $f\left(x\right)=\frac{x^2+3x}{5x}$