General Tech Learning Aids/Tools 2 years ago
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What's really missing from your statements are quantifiers, without which it's hard to define these things. It's correct to say that f is not surjective if there exists some y for which there does not existany x with f(x)=y.
Similarly, f is not injective if there exist some x and x′ with x≠x′ and f(x)=f(x′).
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manpreet![Tuteehub forum best answer]()
Best Answer
2 years ago
If i have a function,
Does it make sense to say the following:
For x∈Xx∈X and y∈Y,y∈Y,
ff is not surjective if f(x)≠yf(x)≠y for some y∈Yy∈Y.
And ff is not injective if f(x)=f(x′)f(x)=f(x′), where x≠x′x≠x′.
First time learning about functions in such a formal way and I don't have very detailed notes to learn off. p.s, any text recommendations which may aid my understanding about this topic and the basis of analysis in general?