Section 2.4 Library of Functions; Piecewise-defined...

Section 2.4

Library of Functions;

Piecewise-defined Functions

Copyright © 2013 Pearson Education, Inc. All rights reserved


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













( ) ( )(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 ∞Copyright © 2013 Pearson Education, Inc. All rights reserved

(a)

(b)




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Section 2.4 Library of Functions; Piecewise-defined...

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