Question

Determine whether each relation represents a function. For each function, state the domain and range.

1) {(2,6), (-3,6), (4,9), (1,10)}
2) {(1,3), (2,3), (3,3), (4,3)}
3) {(-2,4), (-2,6), (0,3), (3,7)}
4) {(-2,4), (-1,1), (0,0), (1,1)}

Answer 1

$D-domain;\ R-range\\\\1)\ \{(2;\ 6),\ (-3;\ 6),\ (4;\ 9),\ (1;\ 10)\}\ YES\ :)\\D=\{2;-3;\ 4;\ 1\};\ R=\{6;\ 9;\ 10\}\\\\2)\ \{(1;\ 3),\ (2;\ 3),\ (3;\ 3),\ (4;\ 3)\}\ \ \ YES\ :)\\D=\{1;\ 2;\ 3;\ 4\};\ R=\{3\}\\\\3)\ \{(\fbox{-2};\ 4),\ (\fbox{-2};\ 6),\ (0;\ 3),\ (3;\ 7)\}\ \ \ NO\ :(\\\\4)\ \{(-2;\ 4),\ (-1;\ 1),\ (0;\ 0),\ (1;\ 1)\}\ \ \ \ YES\ :)\\D=\{-2;-1;\ 0;\ 1\};\ R=\{4;\ 1;\ 0\}$