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Sets, Relations...

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  • Question 1
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    If R and C denote the set of real numbers and complex numbers, respectively.Then, the function f : C →R defined by f(z)= |z| is

  • Question 2
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    If f : N —> N defined by f(x) = X2+ x + 1,x ∈ N, then f is

  • Question 3
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  • Question 4
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    The mapping f : N → N given by f(n) = 1 +n2, n ∈ N, where N is the set of natural numbers, is

  • Question 5
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    A function f : A → B, where A = {x : -1 ≤ X ≤ 1} and B = {y : 1 ≤ y ≤ 2} is defined by the rule y= f (x)= 1+ x2. Which of the following statement is correct?

  • Question 6
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    The function f : R → R given by f(x)= x3-1is

  • Question 7
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    If A = [-1, 1] and f : A → A is defined as f(x) = x|x|,∀ x ∈ A, then f(x) is

  • Question 8
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    The function f : R → R defined by f(x) = (x -1)(x -2)(x - 3)is

  • Question 9
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    The function f : X → Y defined by f(x) = sin x is one-one but not onto, if X and Y are respectively equal to

  • Question 10
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    If R denotes the set of all real numbers, then the function f : R → R defined by f(x)= lxl is

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