Question

Which of the following sets represents a function? {(1, 2), (3, 2), (5, 7)} {(3, 5), (-1, 7), (3, 9)} {(1, 2), (1, 4), (1, 6)}

Answer 1

`\huge \boxed{ \{(1, 2), (3, 2), (5, 7)\} }`

Explanation:

`\sf A \ function \ is \ a \ relation \ if \ each \ x \ value \ is \ for \ each \ y \ value.`

`\{(1, 2), (3, 2), (5, 7)\} \ \sf represents \ a \ function.`

`\{(3, 5), (-1, 7), (3, 9)\} \ \sf does \ not \ represent \ a \ function.`

`\{(1, 2), (1, 4), (1, 6)\} \ \sf does \ not \ represent \ a \ function.`

Answer 2

{(1, 2), (3, 2), (5, 7)}

Explanation:

A function has a one to one correspondence

Each x can go to only 1 y value

{(1, 2), (3, 2), (5, 7)} function

{(3, 5), (-1, 7), (3, 9)} 3 goes to more than 1 y value

{(1, 2), (1, 4), (1, 6)} 1 goes to more than 1 y value