Continuity                                        Name _______________________________

 

The functions listed in the following table have different types of behaviors on an interval containing x = 0.

For each of the functions, complete the following table:

 

 

      

Graph of

 

 

 


 

Continuous at

x = 0?

 

 

 

 

 

 


0

 

0

 

Yes, no holes, gaps, or jumps

 

 

o

 

x

 

 

Undefined

 

0

No, has a hole at the origin.  f(x) is not defined there

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Many thanks to Kathy Rivers who retyped this work sheet!