Q6Discrete Mathematics
Question
2 marks
How many kinds of functions are there? Name them.
Answer
Functions are primarily classified based on mapping behavior into injective, surjective, bijective, into, and constant types.
In discrete mathematics, there are several foundational kinds of functions based on their strict mapping properties: 1. One-to-one (Injective), where distinct inputs have distinct outputs. 2. Onto (Surjective), where the entire codomain is completely covered. 3. Bijective, which is simultaneously both injective and surjective. 4. Into function, where the codomain is not completely covered. 5. Constant function, where every input maps to one single output.