List of top Higher Mathematics Questions on Functions

If \( A = \{1, 2, 3\} \), \( B = \{4, 5, 6, 7\} \), and \( f = \{(1, 4), (2, 5), (3, 6)\} \) is a function from A to B, then show that \( f \) is one-one.

\( f : x \to y \) is an onto function then range of \( f = y \).
In the function \( f : \mathbb{R} \rightarrow \mathbb{R} \), given by \( f(x) = 5x \):