S is a set of three words: “At” “Bat” and “Cat”. For each word w in S, f w( ) is defined as the number of letters in w. What is the range of f?

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S is a set of three words: “At” “Bat” and “Cat”. For each word w in S, f w( ) is defined as the number of letters in w. What is the range of f?

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First of all, you should have put what you have come up with in the body of your question originally, instead of making me drag it out of you.

The range is the set of values assumed by the function. The function assumes the values $2$ and $3$, so the range is $\{2,3\}.$

The answer you gave,$\{2\}\{3\}\{3\},$ is not standard mathematical notation for anything that I know of. It looks to me as though you have the general idea, but are weak on how to write it mathematically. Correct notation is more important than you might think; it's how we communicate with each other.