Question # 01: Four option are given against each statement. Encircle the correct option.
\((x)\) \(\;\)Let \(A=\{1,2,3\}\) and \(B=\{a,b\}\) two non-empty sets and \(f:A\rightarrow B\) be a function defined as \(f=\{(1,a),(2,b),(3,b)\}\), then which of the following statement is true?
\( a) \quad \) \(f\) is injective
\( b) \quad \) \(f \) is surjective
\(c) \quad \) \(f\) is bijective
\( d) \quad \) \(f\) is into only
Answer: \( b) \; \) \( surjective\)
Explanation:
All elements in the codomain are used.
No element in the codomain is left unmapped.
It’s okay if multiple inputs (domain elements) map to the same output (codomain element).