Intermediate-value-theorem-with-an-interval.pdf - Topic Intermediate value theorem with an interval Question Which of the following statements is true

# Intermediate-value-theorem-with-an-interval.pdf - Topic...

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Topic : Intermediate value theorem with an interval Question : Which of the following statements is true? Answer choices : A The Intermediate Value Theorem only applies to discontinuous functions. B The Intermediate Value Theorem only applies when there is no interval. C The Intermediate Value Theorem only applies when there is an open interval. D The Intermediate Value Theorem only applies when there is a closed interval. 88
Solution : D The Intermediate Value Theorem states that for a function on a closed interval [ a , b ] where the function is continuous on the interval, a point c exists on the interval where f ( c ) = k . f ( a ) < k < f ( b ) and a < c < b 89
Topic : Intermediate value theorem with an interval Question : Which of the following statements is true? Answer choices : A The Intermediate Value Theorem states that for a function on a closed interval [ a , b ] where the function is continuous on the interval a point c exists on the interval where the function equals k .
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