Piecewise Functions: Functions defined by different formulas on different intervals.  All of the functions below are piecewise except H(x).

 

Ex. F(x) =     x for x < 1

                      3 for

                      x for x > 3

 

 

 

 

Ex. G(x) =  for

                  2-x for x> 1

 

 

 

 

 

Example of a non-piecewise function: H(x) =

 

 

 

 

 

Ex. Adjust the above to be a new function K(x) =      for                                    

5           for x = 4

 

 

 

 

 

 

 

Ex. Adjust H(x) to be M(x) =    for        

                                                      8      for x = 4