Consider the following for the two (02) items that follow: Let f = \ (1, 1), (2, 4), (3, 7), (4, 10)\ . Consider the following statements: I. f is one-one function. II. f is onto function if the codomain is the set of natural numbers. Which of the statements given above is/are correct?
A. I only
The given function is f = \ (1, 1), (2, 4), (3, 7), (4, 10)\ . The domain of f is \ 1, 2, 3, 4\ and the range of f is \ 1, 4, 7, 10\ . Since each element in the domain has a distinct image in the range, f is a one-one function. Statement I is correct. If the codomain is the set of natural numbers, the range \ 1, 4, 7, 10\ is a proper subset of the codomain. Since the range is not equal to the codomain, f is not an onto function. Statement II is incorrect. Therefore, only Statement I is correct. Answer: I only
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