A function is one-to-one if no two different elements in domain have same output. A function is one-to-one if f(x1) = f(x2) implies x1 = x2. Linear functions of form f(x) = ax + b are one-to-one
Injective functions map each domain element to exactly one codomain element. No two distinct domain elements can map to the same codomain element. Functions are often monotonic and have no critical points. Composition of injective functions preserves injectivity
A function is one-to-one if every element in range corresponds to exactly one element in domain. Injective functions map distinct elements of domain to distinct elements of codomain. Identity function X → X is always injective. Horizontal line test determines if function is one-to-one
Injective function relates every element of one set to a distinct element of another. Also known as one-to-one function. Can be represented as equation or set of elements. Every element of set A maps to unique element in set B
A one to one function maps every element of range to exactly one element of domain. A function is one to one if g(x1) = g(x2) implies x1 = x2 for all x1, x2 ∈ D. A one to one function is either increasing or decreasing. The domain of one to one function equals the range of its inverse
An injective function maps distinct elements of its domain to distinct elements of its codomain. Every element of the codomain is the image of at most one element of its domain. The identity function is always injective. The empty function is injective when the domain is empty