Mathematics, 11.02.2020 02:37 auzriannamarie
Determine if each of the examples below are functions or not. If a given construction is not a function, prove it by showing that a single input can have multiple outputs (not well defined) or that some input doesn't have an output (not total). If it is a function, show it by showing each input has exactly one output.
a) f : R \ {0} > R such that f(x) = x^-1
b) f : R > R such that f(x) = y iff y <_ x
c) f : Compound Propositions > {T, F} such that f(x) = T if x is satisfiable, and f(x) = F otherwise.
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Determine if each of the examples below are functions or not. If a given construction is not a funct...
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