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At a horizontal intercept, the function might change sign or loop back into the identical vertical half of the coordinate grid. Mathematicians, scientists, businesspeople, and others develop capabilities to model real-world behavior, such as the trajectory of a meteor, the expansion of revenue in an organization, the depth of earthquakes, and climate change. A perform model makes it potential to study phenomena and to raised predict future outcomes. As usual, reply the “Try It Now” questions whenever you come to them.
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Evaluating Piecewise Functions Worksheet
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Evaluating Piecewise Features Worksheet
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Conversely, if converges to in norm, then converges to uniformly exterior of a null set (i.e. there exists a null set such that the restriction of to the complement of converges to the restriction of ). The second elementary theorem of calculus for absolutely continuous features. For any and any sufficiently small , or any and any sufficiently small . As is steady, the operate converges uniformly to on as . As the interval is bounded, thus converges to , and the claim follows.
