@inproceedings{2012OptimizationAC, title={Optimization and Calculus The IVT : An Important Property of Continuous Functions}, author={}, year={2012} }

- Published 2012

While we know continuous functions are nice because they make evaluating limits easy, we saw earlier in the term that they posses another nice property. On an intuitive level, the graph of a continuous function f is an “unbroken” curve. If f is continuous on the closed interval [a, b] with f (a) < 0 and f (b) > 0, geometric intuition tells us that there is… CONTINUE READING

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