- #1
djalap
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Homework Statement
Suppose that the utility functions u(x,y) are related to v(x,y) = f(u(x,y)). In each case below, select "Yes" if the function f is an increasing, monotonic transformation and "No" if it is not.
Homework Equations
A differentiable equation f(u) is an increasing function of u if its derivative is positive.
The Attempt at a Solution
f(u) = 3.141592u (YES)
f(u) = 5000-23u (YES)
f(u) = u-100000 (YES)
f(u) = log(base 10)u (NO)
f(u) = -e^-u (NO)
f(u) = 1/u (NO)
f(u) = -1/u (YES)
My answers are in parenthesis. Are they right? If not, can you explain briefly why?