- The diagram shows a mapping between two sets of colored boxes.
- There are five boxes in the top row and four boxes in the bottom row.
- Arrows connect each top box to exactly one bottom box, but one bottom box has no incoming arrow.
- This indicates that the mapping is from a set of five elements to a set of four elements.
- Since there are more elements in the domain (top row) than in the codomain (bottom row), by the pigeonhole principle, at least one element in the codomain must be mapped to by more than one element in the domain.
- Therefore, the mapping is not injective (one-to-one).
- Additionally, since one element in the codomain has no preimage, the mapping is not surjective (onto).
- Hence, the mapping is neither injective nor surjective.
Parent Tip: Review the logic above to help your child master the concept of blank timeline worksheet.
