Conditional statement traces

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1. Write the trace of this function. Could it be simplified ?. How ?

   def f1(a):
     if a > 0 :
        b = a - a
     elif a < 0 :
        b = -a + a
     else :
        b = 0
     c = a - b
     a = a - c
     return a, b, c
   

2. Write the trace of this function.

   def f2(a):
     if a > 0 :
        b = -a
     else :
        b = a
     c = a - b
     h = c == 0 or c > 0
     return b, c, h
   

3. Which is the value returned by the following function for these calls: f3(7), f3(20), f3(-36), f3(36) and f3(9) ?

   def f3(a):
       if a > 0 :
           if a%2 == 0:
               if a%3 == 0 :
                   b = a + 6
               else:
                   b = a + 2
           else :
               b = 6
       else :
           b = 0
       return b
   

4. Discuss whether or not the following functions f4 and f5 return the same value for all possible values of x and y.

   def f4 (x, y):
       if x == y:
           z = 0
       elif x < y:
           z = -1
       else:
           z = 1
       return z
   
   def f5 (x, y):
       if x == y:
           z = 0
       if x < y:
           z = -1
       else:
           z = 1
       return z