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 …

However, this can prove to be a risky method for finding such an answer at it heavily depends on the precision of your graphing calculator, your zoom, etc... What is the best method for finding …

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.

Hint: If a function f is one-to-one, then df/dx >= 0 or df/dx <= 0 for all x in the domain of f.

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.

Mar 16, 2014 · I know that you can prove a function is one to one by graphing it and using the horizontal line test. But in my notes it showed another way to prove a function is one to one …

I know generally if you want to prove the function is one to one you just have to check for $f (x)=f (y)\implies x=y$ and to check if it is onto you just have to show that $f (x)=y$ and $y$ has to …

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.

Dec 28, 2014 · I know the basic concept of onto but I just don't get how do you prove is onto. I know that the range = co-domain for it to be onto but I just don't understand the proofs given. …

Apr 7, 2019 · It looks like $\sqrt [3] {x_1^3+x_1}=\sqrt [3] {x_2^3+x_2}$ is your first step, so I'm not sure what you mean by "eventually," here. If you aren't able to proceed from there, that means …