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Unformatted text preview: x 3x b) f : R â†’ R , f ( x ) = x Â·  x  c) f : R â†’ R , f ( x ) = x x 2 + 1 d) f : Z â†’ Z , f ( x ) = x Â· (1) x e) f : R â†’ R , f ( x ) = ( x, x âˆˆ Qx, x âˆˆ R \ Q Answers to selected exercises: 1) b) It is a function; the domain is { a,b,c } and the range is { 2 } d) It is a function; the domain is { a,c } and the range is { 2 } f) It is not a function. 2) b) x âˆˆ (âˆž , âˆž ) \ Â± 2 d) x âˆˆ [2 , âˆž ) g) x âˆˆ Â±1 2 , 2 Â³ \ 0 i) x âˆˆ (âˆž , âˆž ) 4) b) [1 , 11] d) {1 , 1 , 3 , 5 , 7 } e) [1 , 3] âˆª { 5 , 7 } 5) b) odd d) odd 2...
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 Fall '10
 a
 Calculus, Domain of a function, Injective function, codomain

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