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Functions, image, image, image, image, image, image - Coggle Diagram
Functions
injective functions
one-to-one (output has a unique input)
not every element in the codomain has a corresponding domain
the curve will intersect a line parallel to the x-axis at most once on a horizontal line test
surjective functions
many-to-one
the codomain has at least one element of the domain
no element is left unused
the curve will intersect a line horizontal to the x-axis at least once in a horizontal line test.
bijective functions
both surjective and injective
one-on-one match between domain and codomains
inverse functions
f⁻¹ is the inverse of f
eg. f = (1,4) (3,7) f⁻¹ = (4,1) (7,3)
a function f can only be inverted if it is bijective
