Final answer:
Functions are one-to-one if each element of the domain maps to a unique element in the codomain, and onto if every element in the codomain has a preimage in the domain. To assess these properties, we would need the specific mappings of the functions.
Step-by-step explanation:
To determine whether each function is one-to-one or onto, we need to define the functions more specifically. However, with the given question's information, we can provide explanations of the concepts involved.
One-to-one functions (also known as injective) map each element of the domain to a unique element in the codomain, which means no two different elements in the domain map to the same element in the codomain. To check if a function is one-to-one, we can use the horizontal line test for graphs, or algebraically verify if for all x_1 and x_2 in the domain, f(x_1) = f(x_2) implies that x_1 = x_2.
A function is onto (or surjective) if every element in the codomain has at least one element in the domain mapped to it. To verify that a function is onto, we need to show that for every y in the codomain, there exists an x in the domain such that f(x) = y.