1.3 Common Functions

1. If , find and .

 

       

       

       

       

       

       

       

       

       

               


2. Find the domain of the following functions.

   (a)                     (b)     

   (c)                   (d)     

   (e)

   

   (a)

   (b)

     

   (c)

   (d)

   (e)


3. Find the domain and sketch the graph of the following functions.

   (a)

   (b)

   (c)

 

   (a)

   


   (b)

   

   (c)

   


4. Determine whether is even, odd or neither. If is even or odd, use symmetry

to sketch its graph.

   (a)

   (b)

   (c)

   (d)

   (e)

   (f)

 

   (a) even

   

  (b) odd

   

   (c) neither


   (d) even

   

   (e) odd

   

   (f) neither


5-6. Draw the original and given functions graphs together


5.

   http://matrix.skku.ac.kr/cal-lab/cal-1-3-5.html

   

   


6. ,

  http://matrix.skku.ac.kr/cal-lab/cal-1-3-6.html