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Test: Types of Functions - Question 1

Let A be the set of all 25 students of Class X in a school. Let f : A → N be function defined by f (x) = roll number of the student x. Then f is:

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Test: Types of Functions - Question 2

A function f: A x B → B x A defined by f (a, b) = (b, a) on two sets A and B. The function is:

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Test: Types of Functions - Question 3

Let f : N→ R - {0} defined as f(x) = 1/x where x ∈ N is not an onto function. Which one of the following sets should be replaced by N such that the function f will become onto? **(where R _{0 }= R - {0})**

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Test: Types of Functions - Question 5

A function f: R → R is defined by f(x) = [x+1], where [x] the greatest integer function, is:

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Test: Types of Functions - Question 6

How many onto functions from set A to set A can be formed for the set A = {1, 2, 3, 4, 5, ……n}?

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Test: Types of Functions - Question 7

Let A = {1, 2, 3}. f: A → A Then complete the function f such that it one-one and onto: f = {(1, 2), (2,1) ______}

Test: Types of Functions - Question 8

If a relation f: X → Y is a function, then for g: Y → X to be a function, function f need to be

Test: Types of Functions - Question 9

Find the number of bijective functions from set A to itself when A contains 106 elements.

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Test: Types of Functions - Question 10

Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of f and g is ____________

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