The notation f:S→T denotes that f is a function, also called a map , defined on all of a set S and whose outputs lie in a set T . A function f:S→T is injective if for all x, y∈S , f(x)=f(y) implies that x=y . Alternatively: a function is injective if we can uniquely recover some input x based on an output f(x) . What functions are injective?

There are many. Two examples are

Step-by-step explanation:

There are many examples. The simplest is

1 -

It is trivial that

2 -

That function is injective as well.

An example of a function that is NOT injective is

Notice that

$4

step-by-step explanation:

$30×5=$150

$150 minus $130=$20

$20÷5=$4.

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2500

step-by-step explanation: