Analytic Geometry and Calculus
A bijective function is a type of function that is both injective (one-to-one) and surjective (onto), meaning every element in the domain maps to a unique element in the codomain and every element in the codomain has a pre-image in the domain. This characteristic makes bijective functions particularly important because they establish a one-to-one correspondence between two sets, which allows for the existence of an inverse function. Understanding bijective functions is crucial for analyzing algebraic functions and their graphs, as they determine the function's behavior and the relationships between input and output values.
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