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 |
|---|---|---|
| None | Let the function f: A->B be defined as f(x) = 2x … | Step 1: Determine if the function is one-to-one (injective). A function is one-to-one if no two dif… |