Answer to Question #234861 in Discrete Mathematics for lavanya

Question

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

Answer 1

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

$f(a)=a^2\\ Consider \space F(a)=F(b)\\ a^2=b^2\\ a=b\\$

F is one-to-one