Define surjective function.
Understand the Problem
The question is asking for a definition of a surjective function, which is a type of function in mathematics. Specifically, it seeks to clarify the characteristics that distinguish surjective functions from others.
Answer
A surjective function is one where every element in the codomain has at least one preimage in the domain.
A surjective function is one where every element in the codomain has at least one preimage in the domain.
Answer for screen readers
A surjective function is one where every element in the codomain has at least one preimage in the domain.
More Information
A surjective function is also known as an 'onto' function. In other words, the range of the function is equal to its codomain.
Tips
Common mistakes include confusing surjective functions with injective (one-to-one) functions and not verifying if every element in the codomain is mapped.
Sources
- Wikipedia - Surjective Function - en.wikipedia.org
- Math is Fun - Surjective (Onto) Functions - mathsisfun.com
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