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asked 2 years ago

Cyrille gravatar image

Max return a partial false result

Suppose I have four (may be more) linear functions say :

f0(x) = -3 x
f1(x) = -3 x + 1
f2(x) = -6 x + 2
f3(x) = -9 x + 3

for x[0,1]. They are easy to plot

plot((f0(x),f1(x),f2(x),f3(x)),(x,0,1),color=['red','blue','green','cyan'])

So one can see that for x[0,1/3[ maxf0(x),f1(x),f2(x),f3(x)=f3(x) and for x]1/3,1], maxf0(x),f1(x),f2(x),f3(x)=f1(x).

But

max(f0(x),f1(x),f2(x),f3(x))

return only f1(x). How to correct this result ?