Question
Download Solution PDFIf a continuous function f(x) does not have a root in the interval [a, b], then which one of the following statements is TRUE?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFWe know that, (Intermediate value theorem)
If
Since there is no root in [a, b] this implies f(a) and f(b) are of same sign
i.e. either they both are positive or they both are negative
In both cases
Last updated on Feb 19, 2024
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