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Section 2.4
Library of Functions;
Piecewise-defined Functions
OBJECTIVE 1
The Square Root Function
The Cube Root Function
The Absolute Value Function
OBJECTIVE 2
2
The function is defined as
if < 0
2 if = 0
2 if > 0
(a) Find (-2), (0), and (3). (b) Determine the domain of .
(c) Graph .
f
x x
f x x
x x
f f f f
f
(d) Use the graph to find the range of .
(e) Is continuous on its domain?
f
f
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