Precalc0105to0107-page2

Precalc0105to0107-page2 - (Section 1.5: Piecewise-Defined...

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(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.2 PART B: THE ABSOLUTE VALUE FUNCTION Let fx () = x . We discussed the absolute value function f in Section 1.3, Part N. The piecewise definition of f is given by: () = x = x ,i f x ± 0 ² x f x < 0 ³ ´ µ • For instance, f 3 = 3 = 3 , because 3 ± 0 , and we use the top rule, which applies to the subdomain 0, ± ² ³ ) . • However, f ± 3 = ± 3 = ±± 3 = 3 , because ± 3 < 0 , and we use the bottom rule, which applies to the
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This document was uploaded on 12/29/2011.

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