Suppose that the utility functions u(x, y) and v(x, y) are related by v(x, y) = f(u(x,

Question:

Suppose that the utility functions u(x, y) and v(x, y) are related by v(x, y) = f(u(x, y)). In each case below, write “Yes” if the function f is a positive monotonic transformation and “No” if it is not.
(a) f(u) = 3.141592u..
(b) f(u) = 5, 000 − 23u.
(c) f(u) = u − 100, 000.
(d) f(u) = log10 u.
(e) f(u) = −e−u.
(f ) f(u) = 1/u.
(g) f(u) = −1/u.