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Let A = {1, 2, 3}, B = {4, 5, 6, 7} and ...

Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Show that f is one-one.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
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  2. Show that the signum function f : R to R given by: f(x) = {{:(1, if ...

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  3. Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6...

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  4. In the following case, state whether the function is one-one, onto or ...

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  5. Let A and B be sets, show that f : A xx B rarr B xx A such that f(a,b...

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  6. Let f: N to N be defined by f(n) = {{:((n+1)/2, " if n is odd "),(n/2,...

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  10. If f:(1,3,4} rarr {1, 2,5} and g:(1,2,5) {1,3} be given by f = {(1, 2)...

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  13. Find gof and fog, if f(x) = 8x^3 and g(x) = x^(1/3)

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  16. State with reason whether following functions have inverse: g: {5,6,7,...

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  17. State with reason whether following functions have inverse: h: {2,3,4,...

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  18. Show that f: [ -1, 1] rarr R, given by f(x)= (x)/(x+2) is one-one. Fin...

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  19. Consider f : R → R given by f(x) = 4x + 3. Show that f is invertible. ...

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  20. Consider f : R+rarr [4, oo) given byf (x) = x^2 + 4 Show that f is inv...

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