would appreciate it.if u could explain with an example.
2007-05-10 22:39:31 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
It's a function where every number in the range (the output of the function) comes from just one number in the domain (the input of the function).
An example of a one-one function is y = x. Every y comes from a unique x.
Contrast this with a many-one function like y = x^2. Here, all of the values of y except 0 can come from two values of x, e.g. 4 = 2^2 but also 4 = (–2)^2.
2007-05-10 22:48:07 · answer #1 · answered by rrabbit 4 · 0⤊ 0⤋
A function, f : A -> B, is injective or one-one, or is an injection, if and only if for all a,b in A, f(a) = f(b) => a = b.
Example: A = {3,4} and B = (9, 16, 20} and f (x) = x*x is a one - one function.
2007-05-11 05:54:56 · answer #2 · answered by veeraa1729 2 · 1⤊ 0⤋
It is a function in which every member of the range is paired with exactly one member of the domain. y = x^2 is not one-one because 1 which is in the range is paired with 1 and -1 in the domain.
2007-05-11 05:46:51 · answer #3 · answered by jsardi56 7 · 0⤊ 0⤋
One to one means there is only one x for every y.
2007-05-11 06:03:05 · answer #4 · answered by Billy Nostrand 3 · 0⤊ 0⤋