Question

Determine whether if the function is one to one. If so find its inverse

A. f={(-1,1),(-3,-2),(0,1),(4,2)}

Answer 1

a one-to-one function, has a one to one relation obviously, meaning for every x-coordinate, there's a unique y-coordinate value, so the pairs never really repeat, let's check this one,


`\bf \{(-1,\stackrel{y-re peat}{1}),(-3,-2),(0,\stackrel{y-re peat}{1}),(4,2)\}\impliedby \begin{array}{llll} \textit{therefore is not a}\\ \textit{ \underline{one-to-one}} \end{array}`