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 wou...

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 defined in your …

Of course, this one-to-one terminology was long established by the time Bourbaki wanted to insist that functions come along with a specified co-domain, giving the definition of function as a triple …

Each of these partitions then describes a function from A to B. For example, the first partition -- ab,c -- says that a and b map to one element of B, and c maps to the other. Once we've counted the …

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 14, 2024 · Number of One-One Functions Ask Question Asked 1 year, 7 months ago Modified 1 year, 7 months ago

I have been preparing for my exam tomorrow and I just can't think of a function that is onto but not one-to-one. I know an absolute function isn't one-to-one or onto.

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 says that I …

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 these …

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.