CalcNotes0101-page5 - (Chapter 1: Review) 1.05 The implied...

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(Chapter 1: Review) 1.05 The implied domain of an algebraic function consists of all real numbers except those that: 1) lead to zero denominators Think: 0 ± ² ³ ´ µ , or 2) lead to negative radicands of even roots Think: ± even () . As we study more types of functions, the list of restrictions will grow. For example, as we will see later, we also exclude real numbers that lead to 3) logs of nonpositive values Think: log b ± 0 , or 4) arguments of trig functions that correspond to vertical asymptotes. Word problems may imply other restrictions: nonnegativity, integer values, etc.
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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