Identity function maps every element to itself. Denoted by "I" and has form I(x) = x for all real numbers. Domain and range are both set of real numbers. It is bijective and has slope of 1. It is an odd function since f(-x) = -x
Bijective function combines injective and surjective functions. Every element in A maps to distinct element in B. Every element of B maps to distinct element in A. Bijective functions have equal domain and co-domain elements. Bijective functions have same codomain and range
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
A function is a relation where each domain element corresponds to exactly one range element. Functions are relations but not all relations are functions. A function is identified by a line parallel to the y-axis passing through only one point
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
Bijective function is a one-to-one correspondence between sets. Surjective function maps every element in Q to at least one element in P. Injective function maps distinct elements of P to distinct elements of Q