Section 3.4 Library of Functions; Piecewise-defined Functions Copyright © 2013 Pearson Education,...

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Section 3.4

Library of Functions;

Piecewise-defined Functions

The Square Root Function

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.

The Cube Root Function

(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.

The Absolute Value Function

FUNCTIONS

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

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

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