For all x in the given ranges, polynomials f, g, and h satisfy the following equations:

|f(x)| + g(x) = 4x, x ≤ -2;
|f(x)| + g(x) = -2x², -2 < x ≤ 0;
|f(x)| + g(x) = h(x), x > 0;

What is the least possible value of f(10)?

closly observing the functions, i was able to make out
f(x) = x²+2x  or  f(x) = -x²-2x
& g(x) = 2x-x²
h(x) = 4x

so f(10) = 120 or -120
least possible value of  f(10) = -120.

Posted by suman on 2005-05-11 06:03:53