Have you tried making (or at least imagining) such a function? Sketch a graph of what it might look like. If you can't, tell us what is preventing you, and we can discuss that.Hello, I have a question and I hope somebody can help me answer it;
Can function f: [0, ∞) → R be surjective?
Does [imath]f[/imath] have to be continuous?Hello, I have a question and I hope somebody can help me answer it;
Can function f: [0, ∞) → R be surjective?
Yes.Does [imath]f[/imath] have to be continuous?
Yes, I tried and I can't imagine it.Have you tried making (or at least imagining) such a function? Sketch a graph of what it might look like. If you can't, tell us what is preventing you, and we can discuss that.
Yes, we have learned all about functions, already in high school and again now. It is actually a question from the theoretical part of the exam at my university (I study pharmacy). We have to decide if the statement is correct and prove our decision, and I cannot imagine such function and do not know how to solve it, so I decided to ask. English is also not my first language, sorry for any mistakes.Hello LC. Have you learned the meaning of surjective, yet? Is this part of a class assignment? Please share your thoughts about the exercise. Thank you.
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Please tell us - what does it mean for a function to be surjective?Hello, I have a question and I hope somebody can help me answer it;
Can function f: [0, ∞) → R be surjective?
How about [imath]y = x \sin x[/imath] ?Hello, I have a question and I hope somebody can help me answer it;
Can function f: [0, ∞) → R be surjective?
Sometimes in math you have to develop a good imagination, and not let it be limited to the familiar. We can get so used to polynomials that we forget there are other kinds of function!Yes, I tried and I can't imagine it.