UPSKILL MATH PLUS

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1. Show that the function \(f: \mathbb{N} \rightarrow \mathbb{N}\) defined by \(f(m) = m^2 + m + 3\) is one-to-one function.
 
2.Show that the function \(f: \mathbb{N} \rightarrow \mathbb{N}\) defined by \(f(x) = 2x - 1\) is one-one but not onto.
 
Important!
This is a self-assessment task. Solve and assess the solution steps after the completion of the test on your own.