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Unformatted text preview: 34: Library of Functions; PiecewiseDefined 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 piecewisedefined 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.
 Fall '08
 Staff
 Real Numbers

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