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MODERN PUBLICATION-RELATION AND FUNCTIONS-EXERCISE
- Write the smallest equivalence relation on A = {1,2,3}.
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- Congruence modulo 3 relation partitions the set Z into how many equiva...
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- Given an example of a relation which is reflexive, symmetric but not...
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- Given an example of a relation which is reflexive, transitive but n...
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- Given an example of a relation which is reflexive but neither symmet...
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- Find the least positive integer r such that -375 in [r]11
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- Find three positive integers x(i),i = I, 2, 3 satisfying 3x = 2 (mod 7...
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- State the reason for the relation R in the set {1, 2, 3} given by R ={...
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- Show that f : R to R defined as f(x) = sgn(x) is neither one-one nor o...
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- Give an example of a function which is injective but not surjective.
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- Let f= {(1,3),(2,4),(3,7)} and g ={(3,2),(4,3),(7,1)} Determine gof ...
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- Express each of the following function as the sum of an even function ...
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- Let X ={1,2,3,4}Determine whether f:X rarr Xdefined as given below hav...
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- If the invertible function f is defined as f(X) = (3x-4)/5 , write f^(...
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- Let f , R to R and g , R to R defined as f(x) = | x |, g(x) = | 5x - 2...
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- Let * is a binary operation defined by a * b = 3a + 4b - 2, find 4*5.
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- Let the binary operation on Q defined as a * b = 2a + b - ab, find 3*4...
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- Let * is a binary operation on Z defined as a * b = a + b - 5 find the...
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- Find the number of binary operations on the set {a, b}.
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- Let * is a binary operation on [0, ¥) defined as a * b = sqrt (a^(2)+b...
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