SM3 U3E1 Graphing Rational Functions

    
Given the equation in Quotien Form, find and list the information requested.


y-intercept  ( , )  
 
x-intercept

(  ,  )
 

Horizontal Asymptote:

 
  

Vertical Asymptote:

  
 

Transformation Form:


  

Now graph the above function.  

        

Given the equation in Quotient Form, find and list the information requested.


What is the Horizontal Asymptote?
 =  
 
 What is the Vertical Asymptote?
 = 
 

 What is the y-intercept?

(  ,  )

 
What is the x-intercept?

(  ,  )

 
What is Transformation Form?

 +
  

Graph this function by hand following these steps:  
  1. draw the horizontalasymptote 
  2. draw the verticalasymptote 
  3. plot the xand yintercepts as points  
  4. plot the leftand rightcontrol points  
  5. scribble the general shapeof the graph