Nov 21, 2023 · What is a one-to-one function? Learn about one-to-one functions through graphs and examples and explore how to determine if a function is one-to-one.

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 …

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 …

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 …

On the first one i would say since g composed of f is one-to-one, if g (f (x))=g (f (y)) for all x,y in A then x=y. By definition of f then there exist some value f (x) and f (y) in B.

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 …

In order for a function to be onto, but not one-to-one, you can kind of imagine that there would be "more" things in the domain than the range. A simple example would be f(x,y)= x f (x, y) = x, …

Complete this quiz/worksheet combination so that you can see how much you know about one-to-one functions. You can use these questions as a pretest...

Perhaps you can find a few exercises by yourself: exercise "one-to-one" function or exercise injective function.

Apr 18, 2015 · Let p p be the number or elements in A A. Let q q be the number of elements in B B. If the number of functions from A A to B B is equal to qp q p, then: What is the formula to …