Precalc0101to0102-page12 - (Section 1.1: Functions) 1.1.11...

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(Section 1.1: Functions) 1.1.11 PART H: FINDING DOMAINS AND/OR RANGES Example 11 (Squaring Function: Finding Domain and Range) Let fx () = x 2 . Describe the domain and the range of f using set-builder, graphical, and interval forms. § Solution x 2 is a polynomial, so we assume that Dom f = ± . • The symbol ± is used in place of set-builder form . • The graph of ± is the entire real number line: • In interval form , ± is ±² , ² . The resulting range of f is the set of all nonnegative real numbers, because every such number is the square of some real number. For example, 7 is the
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This document was uploaded on 12/29/2011.

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