Section 2.4 library of functions; piecewise defined function

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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 2.4 Library of Functions; Piecewise-defined Functions

Transcript of Section 2.4 library of functions; piecewise defined function

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Section 2.4

Library of Functions;

Piecewise-defined Functions

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The Square Root Function

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3 3(a) f x x x f x This means the function is odd and symmetric with respect to the origin.

3(b) 0 0 0f x and y intercepts are both 0.

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The Cube Root Function

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(a) f x x x f x This means the function is even and symmetric with respect to the y-axis.

(b) 0 0 0f x and y intercepts are both 0.

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The Absolute Value Function

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WISEFUNCTIONS

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(a) 0 0 1 1f 1 2f 2 2 (2) 4f

(b) The domain of is [ 1, ).f

(d) The range of is (0, ).f


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