section 2.4 library of functions; piecewise defined function
TRANSCRIPT
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Section 2.4
Library of Functions;
Piecewise-defined Functions
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The Square Root Function
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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.
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The Cube Root Function
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(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.
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The Absolute Value Function
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WISEFUNCTIONS
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(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