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Only Need answer to H Exercise 5.3.2: Properties of algebraic functions. About For each of the functions below, indicate whether the function is onto, one-to-one,

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Exercise 5.3.2: Properties of algebraic functions. About For each of the functions below, indicate whether the function is onto, one-to-one, neither or both. If the function is not onto or not one- to-one, give an example showing why. (a) f: R R. f(x) = x2 Solution g: R R. g(x) = x3 ) h:Z-Z. h(x) = x3 Solution f. 22. f(x) = 1-4 f: Z Z , f(x) = 5x - 4 (f) fZZ, f(x) = X - 4 Solution (g) f:ZxZ-ZxZ, f(x, y) = (x+1, 2y) (n) f: ZxZ+ZxZ, f(2

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