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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
- Let f: X rarr Y, be a function. Define a relation R in X given by: R={...
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- Determine which of the following binary operation on the set R are ass...
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- Find the number of all one-one functions from set A={1,2,3} to itself.
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- Consider the identity function, IN: N rarr N defined as In(x)=x forall...
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- Consider a function f : [0, pi/2] rarr R given by f(x) = sin x and g...
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- Let f:RrarrR be defined as f(x) = 10x+7 Find the function g:RrarrR s...
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- Let f:WrarrW be defined as f(n) = n-1 if n is odd and f(n) = n+1 i...
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- If f:RrarrR is defined by f(x) = x^2-3x+2, find f(f(x))
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- Show that the function f:R rarr R given by f(x)=x^3 is injective.
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- Given a non empty set X, consider P(X) which is the set of all subsets...
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- Find the number of all onto functions from the set {1,2,3 …... n}to i...
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- Let S={a, b, c} and T={1,2,3}, Find F^-1 of the following functions F ...
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- Let A={-1,0,1,2,} B={-4,-2,0,2} and f, g: A rarr B be functions define...
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- Number of binary operations on the set {a, b} are (A) 10 (B) 16 (C)20 ...
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- Show that the relation R on the set N xx N defined by (a, b)R(c, d)...
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- If f: R rarr R be a function defined by f(x)=4 x^3-7, show that the fu...
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- Consider the binary operation ast : QtoQ where Q is the set of rationa...
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- Prove that the function f: Q rarr Q given by f(x)=2 x-3 for all x in Q...
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- Prove that the function f: N rarr N , defined by f(x)=x^2+x+1 is one-...
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- Let f: R rarr R be a function defined by f(x)=x^2-3 x+2 Find f^' (2) a...
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