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A-Level

Numerical Methods

Question

What does a change of sign from f(a) to f(b) mean ?

2 years ago

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Una Turner



1 Answer

Devan-Kumar M Profile Picture
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If there is a change in sign from f(a) to f(b), this implies there exists an odd number of points k1, k2, k3 ... kn (where n > 0 and n is odd) for which a < K < b, and f(K) = 0, and thus there exists an odd number of roots of f(x), between a and b, not including a and b.

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