Quiz 8.1 Rational Functions

Write the equation for the graph.

• $y=x$

• $y=x^2$

• $y=\frac{1}{x}$

• $y=\frac{-1}{x}$

Which is the graph of $f\left(x\right)=\frac{-1}{x}$ ?

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• 
• 
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How does the graph of $g\left(x\right)=\frac{1}{x+4}$  compare to the graph of  $f\left(x\right)=\frac{1}{x}$  ?  

• It is translated 4 units up.

• It is translated 4 units to the right.

• It is translated 4 units to the left.

• It is vertically stretched by a factor of 4.

How does the graph of $g\left(x\right)=\frac{1}{x}-3$  compare to the graph of  $f\left(x\right)=\frac{1}{x}$  ?  

• It is translated 3 units up.

• It is translated 3 units down.

• It is translated 3 units to the left.

• It is reflected vertically.

Write the equation for the graph.

• $y=\frac{1}{x+3}$

• $y=x+3$

• $y=\frac{3}{x}$

• $y=\frac{1}{x-3}$

Tags

CCSS.HSF-IF.C.7D

Write the equation for the graph.

• $y=\frac{1}{x-1}-2$

• $y=\frac{1}{x+1}+2$

• $y=\frac{1}{x+1}-2$

• $y=\frac{1}{x-2}+1$

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x = -3        y = 1  
• x = 3         y = 1
• x = -3        y = -1
• x = 3         y = -1

Tags

CCSS.HSF-IF.C.7D

The time it takes to travel around the Indy 500 race track can be modeled by the equation

 $t=\frac{2.5}{v}$ 

where t is in hours and v is the speed of the car in miles per hour.  If a car is traveling 200 miles per hour, how long will it take to travel around the track in seconds?

• 0.0125 seconds
  

• 0.75 seconds
  

• 45 seconds
  

• 200 seconds