3-4 Library&Piecewise

3-4 Library&Piecewise - 3-4: Library of Functions;...

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Unformatted text preview: 3-4: Library of Functions; Piecewise-Defined Functions Library of functions (m and b = real numbers): Domain Range Function 1 Linear: f(x) = mx + b 2 Constant: f(x) = b 3 Identity: f(x) = x 4. Square: y = f(x) = x2 Increasing Decreasing Even/Odd 5. Square root: f(x) = x 6.Absolute value: f(x) = | x| 7. Cube: f(x) = x3 8. Cube Root: f(x) = 3 x 9. Reciprocal: f(x) = 1/x 1. y = 2x - 1; 2. y = 5 3. y = x 4. y = x2 5. y = x 6. y = | x| 7. y = x3 8. y = 3 x 9. y = 1/x A piecewise-defined function is a function that is defined differently on different parts of its domain. Graph each part of the function separately for the values of x specified. Graph the following functions: (1) − x + 2 if x < 2 f ( x) = 2 x − 2 if x ≥ 2 (2) 3 + x if − 3 ≤ x < 0 f (x) = 2 if 0 ≤ x < 2 x if x ≥ 2 ...
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This note was uploaded on 01/04/2012 for the course MAC 1105 taught by Professor Staff during the Fall '08 term at Miami Dade College, Miami.

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3-4 Library&amp;Piecewise - 3-4: Library of Functions;...

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