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Piecewise-defined Functions

y. y. x y h/d. x y h/d. x y h/d. x. x. O. O. Piecewise-defined Functions. Ex. 1:. ½ x – 2, x > 2. f ( x ) =. 3, x = 1. x y h/d. –2 x + 3, –2 ≤ x < 1. Domain: _________. Range: _________.

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Piecewise-defined Functions

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  1. y y x y h/d x y h/d x y h/d x x O O Piecewise-defined Functions Ex. 1: ½ x – 2, x > 2 f(x)= 3, x = 1 x y h/d –2x + 3, –2 ≤ x < 1 Domain: _________ Range: _________ Evaluate: a) f(0) = b) f(1) = c) f(2) = Ex. 2: x – 1, x < –3 f(x)= –2/3 x + 2, –3 ≤ x < 3 x – 3, x = 4 Domain: _________ Range: _________ Evaluate: a) f(–1) = b) f(3) = c) f(4) =

  2. y y y x y h/d x y h/d x x x O O O Piecewise-defined Functions (cont’d) Ex. 3: –3/2x + 6, x > 2 f(x)= 2x – 1, –3 < x≤ 2 Domain: _(-3,oo)_ Range: _(-oo,3]_ Evaluate: a) f(–2) = b) f(2) = 3 c) f(4) = Ex. 4: Ex. 5: f(x)= f(x)= Domain: __________ Domain: __________ Range: ___________ Range: ___________ Evaluate: a) f(–3) = b) f(1.5) = c) f(5) = Evaluate: a) f(–3) = b) f(1.5) = c) f(5) =

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