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What kind of continuous function can change sign but is never zero?
Wiki User
∙ 11y ago
If the function is continuous in the interval [a,b] where f(a)*f(b) < 0 (f(x) changes sign ) , then there must be a point c in the interval a<c<b such that f(c) = 0 .
In other words , continuous function f in the interval [a,b] receives all all values between f(a) and f(b)
Wiki User
∙ 11y ago
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