PIECEWISE DEFINED FUNCTIONS

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PIECEWISE DEFINED FUNCTIONS 2.3 PIECEWISE DEFINED FUNCTIONS Functions Modeling Change: A Preparation for Calculus, 4th Edition, 2011, Connally

A Piecewise Defined Function Example A function may employ different formulas on different parts of its domain. Such a function is said to be piecewise defined. For example, the function graphed has the following formulas: y y = x2 y = 6 - x x Functions Modeling Change: A Preparation for Calculus, 4th Edition, 2011, Connally

(a) (b) Domain: t > 0 Range: C ≥ 99

The Absolute Value Function The Absolute Value Function is defined by Functions Modeling Change: A Preparation for Calculus, 4th Edition, 2011, Connally

Graph of y = |x| The Domain is all real numbers, The Range is all real nonnegative numbers. (-3,3) (3,3) (2,2) (-2,2) (-1,1) (1,1) (0,0) Functions Modeling Change: A Preparation for Calculus, 4th Edition, 2011, Connally