Define onto function
Understand the Problem
The question is asking for a definition of an onto function, which is a concept in mathematics related to functions and their properties. An onto function is also known as a surjective function, meaning every element in the codomain is mapped to by at least one element in the domain.
Answer
An onto function is a function where every element in the codomain has at least one preimage in the domain.
An onto function, or surjective function, is a function where every element in the codomain has at least one preimage in the domain.
Answer for screen readers
An onto function, or surjective function, is a function where every element in the codomain has at least one preimage in the domain.
More Information
Onto functions are important in various fields of mathematics, including algebra and analysis, because they ensure that every target in the codomain is mapped from the domain.
Tips
A common mistake is confusing onto functions with one-to-one or injective functions. An injective function ensures that every element in the domain maps to a unique element in the codomain, whereas an onto function ensures that every element in the codomain is covered.
Sources
- Surjective Function - en.wikipedia.org
- Onto Function - Study.com - study.com
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