tfornwalt7090 tfornwalt7090

13-10-2017
Mathematics

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Determine whether each of these functions from {a, b, c, d} to itself is one-to-one.
a.f(a)=b,f(b)=a,f(c)=c,f(d)=d
b.f(a)=b,f(b)=b,f(c)=d,f(d)=c
c.f(a)=d,f(b)=b,f(c)=c,f(d)=d

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LammettHash LammettHash

13-10-2017

Only (a) describes a one-to-one function. (b) fails because [tex]f(a)=f(b)=b[/tex]; similarly, (c) fails because [tex]f(a)=f(d)=d[/tex].

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