I am looking for the "best" way to determine whether a function is one-to-one, either algebraically or with calculus. I know a common, yet arguably unreliable method for determining this answer …

Sep 11, 2011 · I would say (hand waveingly) a one to one function is a mapping from A to B that puts A & B into one-to-one correspondence with each other, for one to one and function as …

Oct 28, 2013 · I'm reading up on how to prove if a function (represented by a formula) is one-to-one or onto, and I'm having some trouble understanding. To prove if a function is one-to-one, it …

Feb 7, 2018 · For a one-to-one function, each value in the range corresponds to at most one value in the domain. Put another way, the function transforms some input into some output.

Apr 18, 2015 · 0 If set A contains m elements and set B contains n elements, then the number of one-one functions from A to B is $^nC_m×m!$ as we consider the selection of m elements and …

Nov 14, 2013 · A function can be $1-1$ and onto (or it can be one, but not the other, or it can be neither). I'll edit in a discussion of whether the function in 1) in onto.

Aug 30, 2013 · Definitions of a function, a one-to-one function and an onto function Ask Question Asked 12 years, 3 months ago Modified 12 years, 3 months ago

Apr 30, 2015 · I have been told that a function has an inverse if it is one-to-one or injective, but how can we rigorously prove this? I have been struggling to find a proof for days.

To prove f is a one-to-one function, I'd check whether f (a) = f (b) implies a = b. To prove it not, I'd look for a counter-example. I don't think you need any further expectations/guessing.

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