Lesson 2 Functions(Piecewise Functions)

Lesson 2 - FUNCTIONS SPECIAL FUNCTIONS OBJECTI VES DEFINITION PIECEWISE DEFINED FUNCTION if x<0 = 1 x x x f 1 2 x ≥ if A piecewise defined

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Unformatted text preview: FUNCTIONS SPECIAL FUNCTIONS OBJECTI VES : DEFINITION: PIECEWISE DEFINED FUNCTION if x<0 + = 1 x x ) x ( f . 1 2 x ≥ if A piecewise defined function is defined by different formulas on different parts of its domain. Example : --- = 3 x x 9 x ) x ( f . 2 2 x ≤ 1 x 3 x ≤ < if if if Sometimes a function is defined by more than one rule or by different formulas. This function is called a piecewise defined function. if x<0 f(-2), f(-1), f(0), f(1), f(2) A. Evaluate the piecewise function at the indicated values. + = 1 x x ) x ( f . 1 2 x ≥ if - + = 2 ) 2 x ( 1 x x 3 ) x ( f . 2 f(-5), f(0), f(1), f(5) x < if if if 2 x ≤ ≤ 2 x EXAMPLE : B. Define g(x) = |x| as a piecewise defined function and evaluate g(-2), g(0) and g(2). EXAMPLE : Solution : From the definition of |x|, < ≥- = x x if if x x ) x ( g 2 ) 2 ( g ) ( g 2 ) 2 ( ) 2 ( g T herefore = = =-- =- Sketch the graph of the following functions and determine the domain and range.determine the domain and range....
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This note was uploaded on 10/19/2011 for the course MATH 21 taught by Professor Ma'amrosarioexconde during the Summer '11 term at Mapúa Institute of Technology.

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Lesson 2 - FUNCTIONS SPECIAL FUNCTIONS OBJECTI VES DEFINITION PIECEWISE DEFINED FUNCTION if x<0 = 1 x x x f 1 2 x ≥ if A piecewise defined

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