2 Utility functions For each of the following utility functions over X = {x E R : x 2 0}, graphically depict each of the following sets on a number line: 1. U(m) =3: 0 The indifference set around x = 1 I The lower contour set of a: = 5 2. U(a:) = (a; 5)2 o The indifference set around a: = 2 o The upper contour set of a: = 4 3. U(a2) = min{:1:3, 64} o The lower contour set of m = 5 o The indifference set around a: = 4 4. U(m) = logma: if cc