(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

A differentiable equation f(u) is an increasing function of u if its derivative is positive.

3. 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?

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# Homework Help: Montonic Functions (Econ)

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