Precalc0105to0107-page1 - which rule applies there • To...

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(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.1 SECTION 1.5: PIECEWISE-DEFINED FUNCTIONS; LIMITS AND CONTINUITY IN CALCULUS LEARNING OBJECTIVES • Know how to evaluate and graph piecewise-defined functions. • Know how to evaluate and graph the greatest integer (or floor) function. • Preview limits and continuity from calculus. PART A: DISCUSSION • A piecewise-defined function applies different rules, usually as formulas, to disjoint (non-overlapping) subsets of its domain (subdomains ). • To evaluate such a function at a particular input value, we need to figure out
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Unformatted text preview: which rule applies there. • To graph such a function, we need to know how to graph the pieces that correspond to the different rules on their subdomains. • The greatest integer (or floor) function and its graph, seen in calculus and computer science, exhibit similar features. • We will take a peek into calculus and preview the related topics of one- and two-sided limits and continuity . Piecewise-defined functions appear frequently in these sections of a calculus course....
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This document was uploaded on 12/29/2011.

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