Which of the following functions are skewed? (Edited for clarity.)
  1. \(g(a,b):=a-b\)
  2. \(h(a,b):=b-a\)
  3. \(i(a,b):=a+b\)

Answer:

  1. Not skewed: E.g. \(a=3,b=4\). The function \(g(a,b)\) will not be greater than zero
  2. Is skewed: True if both numbers are negative, both are positive or if one is negative.
  3. Not skewed:  If both numbers are negative, the function will not be greater than zero.