For each of the following functions, determine whether it is one-to-one and determine its range. (a) f:

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For each of the following functions, determine whether it is one-to-one and determine its range.
(a) f: Z→Z, f (x) = 2x + 1
(b) f: Q→Q.f(x) = 2x + 1
(c) f: Z → Z, f(x) = x3 - x
(d) f: R→R. f(x) = ex
(e) f: [-π/2,π/2] → R, f(x) = sin x
(f) f: [0 → π] → R, f(x) = sin x
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