For HELPCLICK "only"_college-algebra-E
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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Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
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Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
*
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
*
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
*
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
*
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
*
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
*
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
*
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
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Copyright © 2013 Pearson Education, Inc. All rights reserved
WISE
FUNCTIONS
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Copyright © 2013 Pearson Education, Inc. All rights reserved
(a)
(b)
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Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
*
(
)
(
)
33
(a)
fxxxfx
-=-=-=-
(
)
3
(b)000
f
==
(
)
(
)
(a)
fxxxfx
-=-==
(
)
(b)000
f
==
(
)
(
)
(a) 0011
f
=-+=
(
)
12
f
=
(
)
2
2(2)4
f
==
(b) The domain of is [1,)
f
-¥
(d) The range of is (0,)
f
¥