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general mathematical doubt

Revision en1, by _jarvis_, 2016-07-08 19:01:52

I was solving a problem on spoj, the solution of that problem requires the assumtion that,

if we add 2 the absolute value of 2 or more linear equation in x ( eg. f(x)=|5x-8| + |7x-1| + |12x-13| ) then is it necessary that f(x) (note:here f(x) denotes the sum of those terms) would montonically increasing as we go way from the optimal value of x (note: optimal value of x is the value at which x is minimum) ?

Just wanted to confirm if that statement is true or not?

Tags basic math, doubt, general knowledge, modulus

History

 
 
 
 
Revisions
 
 
  Rev. Lang. By When Δ Comment
en5 English _jarvis_ 2016-07-08 19:06:52 3 Tiny change: ' at which x is minimu' -> ' at which f(x) is minimu'
en4 English _jarvis_ 2016-07-08 19:06:21 2 Tiny change: 'minimum)_ ?**\n\n\nJu' -> 'minimum)_ .**\n\n\nJu'
en3 English _jarvis_ 2016-07-08 19:03:25 6
en2 English _jarvis_ 2016-07-08 19:02:31 2 Tiny change: 'if we add 2 the absol' -> 'if we add the absol'
en1 English _jarvis_ 2016-07-08 19:01:52 510 Initial revision (published)