Y by jhu08, Adventure10, Mango247, ehuseyinyigit
Let
with
and
given as
Find the best (real) bounds
and
such that
and determine whether any of them is achievable.






![$f(M) = \{f(a,b,c): (a,b,c)\in M\}\subseteq [\alpha,\beta]$](http://latex.artofproblemsolving.com/c/f/e/cfe67211f334f6d6220566cc229565070e641ee9.png)
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