Injective Function
At x 1 the function is decreasing it continues to decrease until about 12. In mathematics an injective function also known as injection or one-to-one function is a function f that maps distinct elements to distinct elements.
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In mathematics a bijection also known as a bijective function one-to-one correspondence or invertible function is a function between the elements of two sets where each element of one set is paired with exactly one element of the other set and each element of the other set is paired with exactly one element of the first setThere are no unpaired elements.
. Functions find their application in various fields like representation of the computational complexity of algorithms counting objects study of sequences and strings to name a few. A Function assigns to each element of a set exactly one element of a related set. Equivalently x 1 x 2 implies fx 1 fx 2 in the equivalent contrapositive statement In other words every element of the functions codomain is the image of at most one element of its.
That is fx 1 fx 2 implies x 1 x 2. Let us plot it including the interval 12. It then increases from there past x 2 Without exact analysis we cannot pinpoint where the curve turns from decreasing to increasing so let.
Fx x 3 4x for x in the interval 12. Starting from 1 the beginning of the interval 12.
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