Question: Determine the function is injection, surjection, bijection or none of these. Need help with (f), (g), (i), (m). (If it's injection please write both why

Determine the function is injection, surjection, bijection or none of these. Need help with (f), (g), (i), (m). (If it's injection please write both why is it injection, why is it not surjection and for surjection vice versa)

Determine the function is injection, surjection,
Exercise 8.7. Determine whether each of the following is an injection, surjecti bijection or none of these. Prove your answers. (a) f : R -+ R where f(x) = 2x + 7 (e) k : N -+ N where k(x) = 22 (b) g : R - Z where g(x) = [x] (f) m : R\\ {-1} - R where m(x) = 241 (c) h : R -+ R where h(x) = 72+1 (g) n : Z -+ N where n(x) = 22 - 2x + 2 (d) j : R - R where j(x) = 22 (h) p : N -+ N where p(x) = (x] (i) q: (-00, -10) -+ (-0o, 0) where q(x) = -|x+4/ (j) r : (-00, 0) -+ (-0o, 0) where r(x) = -12 + 4/ (k) s : N - N x N where s(x) = (x, x) (1) t : Z x Z -+ Q where t(m, n) = m (m) u : Z x Z - Z x Z where u(m, n) = (m + n, 2m + n) (n) v : Z x Z - Z where v(m, n) = 3m - An

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