I want to let f and g be functions to be defined on a common domain D. Then the maximum and minimum functions are defined as follows for any x belonging to D....(adsbygoogle = window.adsbygoogle || []).push({});

max(f,g)(x) = f(x), if f(x) >= g(x)

max(f,g)(x) = g(x), if g(x) > f(x)

and

min(f, g)(x) = f(x), if f(x) <= g(x)

min(f, g)(x) = g(x), if g(x) < f(x)

How do I define my max(sinx, cosx) and min(x, x^2)?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Maximum and minimum functions

**Physics Forums | Science Articles, Homework Help, Discussion**