what is "one-one function" mean ?

Question

in Math

Answer 1

The link below has your answer

www.analyzemath.com/OneToOneFunct/OneToOneFunct.html

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Answer 2

For each x value there is only one y value AND for every y value there is only one x value. This last part is necessary to distinguish one to one functions from many to one functions.

Answer 3

That each target value is mapped to by at most one source value.

If you drew the source/target sets and joined dots between the items in the sets, then each target dot would have at most one line into it.


The function f:x->x+1 is one-to-one, the function f:x->x squared isn't (because f(1)=f(-1) ).

Another way to think of it is if for all x and y,
f(x) = f(y) => x = y

Answer 4

A one-to-one function f(x) means that, for real numbers a and b,
if f(a) = f(b), then a = b.

Graphically, it means that it passes the horizontal line test (as well as the vertical line test), in that no horizontal line passes through two points.

Answer 5

for every x value, there is only one y value.