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?

Step-by-step solution

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