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3-4 Library&amp;Piecewise

# 3-4 Library&amp;Piecewise - Section 3.4(Sullivan 8th ed...

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Section 3.4 (Sullivan, 8 th ed.) MAC1140, MAC1147 3-4: Library of Functions; Piecewise-Defined Functions Library of functions (m and b = real numbers): Function Domain Range Increas- ing Decreas- ing Even/Odd 1 Linear: f(x) = mx + b 2 Constant: f(x)  = b 3 Identity:  f(x) = x 4. Square: y = f(x) = x 2 5. Square root: f(x) = x 6.Absolute value: f(x) = | x | 1. 2x - 1; 2. y = 5 4. y = x 2 6. y = | x | 3. y = x 5. y = x Function Domain Range Increas- ing Decreas- ing Even/Odd 7.  Cube:   f(x) = x 3 8.  Cube Root:  f(x) =   3 x 9.  Reciprocal:   f(x) =  1 / x 10. Greatest Integer: f(x) = int(x) = greatest integer < x 7. y = x 3 9. y = 1 / x 10.y = int(x) 8. y = 3 x

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Section 3.4 (Sullivan, 8 th ed.) MAC1140, MAC1147
Section 3.4 (Sullivan, 8 th ed.) MAC1140, MAC1147 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

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3-4 Library&amp;Piecewise - Section 3.4(Sullivan 8th ed...

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