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Sec. 2.2 cont.
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Piecewise Functions A function defined by 2 or more equations over a specified domain. Think about it as pieces of different functions put together.
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Ex. 4 Evaluate the function when x = -1, 0, and 1
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Ex. a) Evaluate for x = 0, 2, &4 x ≤ 2 x > 2
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b) Evaluate x = 0, 3, 5 x < 2 2 ≤ x ≤ 4 x > 4
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Domain of a Function Described Explicitly or implied
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F: {(2, 3) (4, 2) (5, 3)} What is the domain?
This domain is explicit. It comes right out and tells you what it is.
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Implied domain Set of all real numbers for which the expression is defined.
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Ex. a) b) c)
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In General
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Ex. 5 Find the domain f:{(-3, 0) (-1, 4) (0, 2) (2, 2) (4, -1)} b) c)
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Ex. 9 p. 193 For find
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