Question #234861

 Consider f; Z+ → Z+ define by f(a) =a2. Check if f is one-to-one and / or into using suitable explanation


1
Expert's answer
2021-09-09T15:06:07-0400

One to one functions are special functions that return a unique range for each element in their domain, implying that the responses never duplicate.

f(a)=a2Consider F(a)=F(b)a2=b2a=bf(a)=a^2\\ Consider \space F(a)=F(b)\\ a^2=b^2\\ a=b\\

F is one-to-one


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