Posted by **maths** on Tuesday, July 2, 2013 at 6:41am.

f(x)=x ^2 +bx+c , b and c real .Find the minimum of (max|f(x)|)for x∈[−10,10]?

- maths -
**Steve**, Tuesday, July 2, 2013 at 9:58am
f(x) = x^2 - 100

has maximum value of 0 in [10,10]

For any b,c note equal to (0,-100), the max of f(x) will be nonzero.

So, min(max(|f(x)|)) = 0

- maths -
**Anonymous**, Thursday, July 11, 2013 at 11:42pm
50

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