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Section 2.7 Piecewise-DefinedFunctions

# Section 2.7 Piecewise-DefinedFunctions - Outline...

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Outline Piecewise-Defined Functions Graphing Piecewise-Defined Functions Applications Piecewise-Defined Functions Math 1050 K. J. Platt, Ph.D. Department of Mathematics Snow College Spring 2014

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Outline Piecewise-Defined Functions Graphing Piecewise-Defined Functions Applications Outline 1 Piecewise-Defined Functions 2 Graphing Piecewise-Defined Functions 3 Applications
Outline Piecewise-Defined Functions Graphing Piecewise-Defined Functions Applications Piecewise-Defined Functions Definition A piecewise-defined function is a function defined in terms of several formulas, one for each specified segment of the domain. Example f ( x ) = | x | = x if x 0 - x if x < 0 x y -2 -1 1 2 -2 -1 1 2 f ( x ) = | x | (1 , 1) ( - 1 , 1)

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Outline Piecewise-Defined Functions Graphing Piecewise-Defined Functions Applications Example Example The number N of newspapers (in thousands) sold in the United States since 1900 can be modeled by: N ( t ) = 208 + 8 . 1 t - 0 . 13 t 2 if 0 t 38 374 - 5 . 75 | t - 46 | if 38 < t 54 460 - 2 . 45 t if 54 < t 100 t N ( t ) 20 40 60 80 100 100 200 300 400 (38 , 328) (54 , 328) years since 1900
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