Precalc0103to0104-page11

Precalc0103to0104-page11 - (Section 1.3 Basic Graphs and...

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(Section 1.3: Basic Graphs and Symmetry) 1.3.11 PART H : fx () = x 0 Let = x 0 . What is f 0 ? It is agreed that 0 2 = 0 and 2 0 = 1 , but what is 0 0 ? Different sources handle the expression 0 0 differently. • If 0 0 is undefined, then = 1 x ± 0 , and f has the graph below. •• There is a hole at the point 0, 1 . • There are many reasons to define 0 0 to be 1. For example, when analyzing polynomials, it is convenient to have x 0 = 1 for all real x without having to consider x = 0 as a special case. Also, this will be assumed when we discuss
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This document was uploaded on 12/29/2011.

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