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math-reference_3_4.ppt

Section 3.4

Library of Functions;

Piecewise-defined Functions

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The Square Root Function

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This means the function is odd and symmetric with respect to the origin.

x and y intercepts are both 0.

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The Cube Root Function

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This means the function is even and symmetric with respect to the y-axis.

x and y intercepts are both 0.

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The Absolute Value Function

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WISE

FUNCTIONS

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(a)

(b)

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(

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(

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33

(a)

fxxxfx

-=-=-=-

(

)

3

(b)000

f

==

(

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(

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(a)

fxxxfx

-=-==

(

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(b)000

f

==

(

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(

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(a) 0011

f

=-+=

(

)

12

f

=

(

)

2

2(2)4

f

==

(b) The domain of is [1,)

f

(d) The range of is (0,)

f

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