The function f: R → R defined by f(x)=(x-1)(x-2)(x-3) is (a) one-one but not onto (b) onto but no...

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Show that the function f:N→N:f(x)=2x is one-one but not onto. Show that the function f:N→N:f(x)=2x is one-one but not onto.
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Show that the function f: NrarrN\n, given by f(x)=2x\n, is one-one but not\r\nonto. | CLASS 12 |... Show that the function f: NrarrN\n, given by f(x)=2x\n, is one-one but not\r\nonto. | CLASS 12 |...
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Prove that the function f : N → N, defined by f(x) = x^2 + x + 1 is one–one but not onto. Prove that the function f : N → N, defined by f(x) = x^2 + x + 1 is one–one but not onto.