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✓ Correct
B.II only
C.Both I and II
D.Neither I nor II
Explanation
Each input maps to a unique output (1→1, 2→4, 3→7, 4→10), so f is one-one. However, the codomain N has many elements (like 2, 3, 5, 6, ...) not in the range {1, 4, 7, 10}, so f is not onto. Only Statement I is correct.
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