4. Consider the following function definition: F:S Z+ The set S is the set of all strings containing x's and y's. The function F is defined as follows for each s ES (s is a string): = the number of x's in s F(s) = Is the function injective? Is the function surjective? For each case, either prove your answer or provide a counterexample

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Discrete math: kindly correctly and handwritten
4. Consider the following function definition:
F:S Z+
The set S is the set of all strings containing x's and y's. The function F is defined as
follows for each s ES (s is a string):
F(s) =
= the number of x's in s
Is the function injective? Is the function surjective? For each case, either prove your
answer or provide a counterexample
Transcribed Image Text:4. Consider the following function definition: F:S Z+ The set S is the set of all strings containing x's and y's. The function F is defined as follows for each s ES (s is a string): F(s) = = the number of x's in s Is the function injective? Is the function surjective? For each case, either prove your answer or provide a counterexample
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