To ascertain whether a function is bijective (also known as one-to-one and onto), one needs to verify two key conditions: injectivity and surjectivity. The principle of injectivity guarantees that each domain element corresponds to a unique element within the range. Conversely, surjectivity ensures that each range element is the image of at least one element within the domain.
Topic | Problem | Solution |
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None | Given the relation \( R = \{(1, 2), (2, 3), (3, 4… | A relation \( R \) is bijective if it is both injective (one-to-one) and surjective (onto). |