If and f is continuous, then f must have at least one zero between a and b (assume ).

Name: If and f is continuous, then f must have at least one zero between a and b (assume ).
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Question

If  and f is continuous, then f must have at least one zero between a and b (assume  ).

Quizplus · Accepted Answer

This statement is a restatement of the Intermediate Value Theorem, which states that if f is continuous on the interval [a,b] and f(a) and f(b) have opposite signs, then there exists at least one zero of f on the interval (a,b). Therefore, the statement is true.

If and F Is Continuous, Then F Must Have