Precalc0103to0104-page19

Precalc0103to0104-page19 - (Section 1.3: Basic Graphs and...

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(Section 1.3: Basic Graphs and Symmetry) 1.3.19 PART N: ABSOLUTE VALUE FUNCTION We discussed the absolute value operation in Section 0.4. The piecewise definition of the absolute value function (on ± ) is given by: fx () = x = x ,i f x ± 0 ² x f x < 0 ³ ´ µ • We will discuss more piecewise-defined functions in Section 1.5. f is an algebraic function, because we can write: = x = x 2 . WARNING 7 : Writing x 2 as x 2/2 would be inappropriate if it is construed as x , which would not be equivalent for x < 0 , or as x 2 , which has domain 0, ± ²
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