worksheet_piecewise

worksheet_piecewise - MATHEMATICS 111 - PIECEWISE-DEFINED...

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Unformatted text preview: MATHEMATICS 111 - PIECEWISE-DEFINED FUNCTIONS Problem #1. Let f ( x ) = 3 x- 1 if- 5 x < 1 4 if 1 x 3 6- x if 3 < x 5 . (a) Evaluate f at x =- 3 , 1 , 2 , 5 . (b) On what interval is f constant? (c) Sketch a graph of f . Is f continuous on its domain? (d) Find the x-value(s) where f ( x ) = 2 . Problem #2. Let g ( x ) = - 2 x- 6 if- 8 x - 2 x if- 2 < x < 2 1 2 x + 1 if 2 x 8 . (a) Evaluate g at x =- 8 ,- 2 , 2 , and 8 . (b) For what x-values does g ( x ) have a positive slope? (c) Sketch a graph of g . Is g continuous on its domain? (d) Find the x-value(s) where g ( x ) = 0 . Problem #3. Let h ( x ) = - 2 if x <- 2 if- 2 x < 3 x if x 4 . (a) Determine the domain of f . (b) Evaluate f (- 2) ,f (0) , and f (3) . (c) Graph f . (d) Is f continuous on its domain? Problem #4. Let f ( x ) = 3 if- 4 x - 1 x- 2 if- 1 < x 2 1 2 x if 2 < x ....
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This note was uploaded on 09/18/2011 for the course WR 227 taught by Professor U.nknown during the Spring '10 term at Portland State.

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worksheet_piecewise - MATHEMATICS 111 - PIECEWISE-DEFINED...

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