Section 2.7 Piecewise-DefinedFunctions

Example evaluate p x 5 if x 3 x 2 4 if 3 x 3 2x

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Unformatted text preview: onding to the segment of the domain that contains a. Example Evaluate p (x ) = 5 if x < −3 x 2 − 4 if − 3 ≤ x ≤ 3 2x + 1 if x > 3 at x = −5, x = −3, x = −2, x = 0, x = 3, and x = 5. Outline Piecewise-Defined Functions Graphing Piecewise-Defined Functions Applications Graphing Piecewise-Defined Functions To graph a piecewise-defined function, one plots the graph of each piece over the corresponding segment of the domain. Example Graph the piecewise-defined functions. 1 g (x ) = 1 2 (x − 1)3 − 1 if x = 3 −2 if x = 3 2 1 − 2 x − 1 if x < −3 5 − |x | if − 3 ≤ x ≤ 5 h (x ) = √ 3 x − 5 if x > 5 Outline Piecewise-Defined Functions Graphing Piecewise-Defined Functions Applications Graphing Piecewise-Defined Functions Example Find a formula for the piecewise-defined function whose graph is: y (−4, 2) 4 3 2 (0, 1) 1 −4 −3 −2 −1 −1 (1, 2) 1234 (0, −1) x Outline Piecewise-Defined Functions Graphing Piecewise-Defined Functions Applications Sp...
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