Classify the following functions as injective, surjective, bijective, or none. If a function is bijective, provide its
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Classify the following functions as injective, surjective, bijective, or none. If a function is bijective, provide its inverse. Justify each classification. For example if a function is not injective, provide elements x and y such that x 6= y and f(x) = f(y).
(1) f : R → R given by f(x) = x + π
(2) g : Z → Z given by g(x) = |x|
(3) h: Z + → R given by h(x) = |x|
(4) j : Z × Z → Z given by j(x, y) = xy
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