 All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars  perplexus dot info  Polynomials (Posted on 2005-05-10) 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)?

 See The Solution Submitted by Charlie Rating: 4.0000 (1 votes) Comments: ( Back to comment list | You must be logged in to post comments.) re(2): numerical answer, without explanation | Comment 5 of 6 | The problem states directly that f, g and h are polinomials. It says "..., polinomials f, g, and h satisfy...". In particular, it does not state that they are polinomials in this or that particular region.

I still don't understand the need for the last equation, since as people have said, the first two equations determine f(x) up to an overall sign.

 Posted by ajosin on 2005-05-11 16:06:29 Please log in:

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