Worked example - ..-to-one or ..-to-many?
Channel: MatheMagician
Date: 2018-06-27

In this video we will discuss two functions, f(z) and g(z). From both of them we will determine whether they are one-to-one/many-to-one/one-to-many or many-to-many.

We start with f(z) and we will see first whether f(z) is singlevalued ("to-one") or multivalued ("to-many). 
Next we will see whether f(z) is "one-to" or "many-to'": are all different numbers in the domain mapped to different numbers in the codomain (one-to) or are some values in the domain mapped to the same value in the codomain (many-to)?

Next we will discuss the same questions for g(z). 

Notice that the procedure is quite general and  can be applied to many more functions/problems.