Let f be the piecewise defined function State the domain of
     Let f be the piecewise defined function  State the domain of the function.  Find the function values,  f(2).  f(5) 
  
  Solution
a) Domain: ( -4 < x < 3) U [ 3 , 6 ]
b) f(2) for x=2 lies in f(x) = x-5
f(2) = 2-5 =-3
c) f(5) for x= 5 lies in f(x) = x^2
f(5) = 5^2 = 25
d) f(-3) for x=-3 lies in f(x) = x-5
f(-3) = -3-5 =-8
e ) f(3) for x =3 lies in f(x) = x^2
f(3) = 3^2 =9

