adjective
- relating to or being a mathematical function in which each element of the range corresponds to exactly one element of the domain
Usage: mathematics
Examples
- The function f(x) = 2x is injective because different inputs always produce different outputs.
- An injective function never maps two different domain elements to the same range element.
- To prove a function is injective, show that if f(a) = f(b), then a = b.
- The exponential function is injective over the real numbers.
- Linear functions with non-zero slopes are always injective.
- Injective functions have the property that they can be reversed or inverted.