Question

Which of the following relations is a function? A. (1, 4), (-4, 2), (8, 1), (-8, 2) B. (1, 4), (-4, 6), (1, 3), (-8, 2) C. (1, 0), (-4, 3), (8, 1), (-4, 5) D. (8, 1), (-4, 4), (1, 1), (8, 2)

Answer 1

`\Large \boxed{\mathrm{A. \ (1, 4), (-4, 2), (8, 1), (-8, 2)}}`

Explanation:

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

`(1, 4), (-4, 2), (8, 1), (-8, 2) \ \sf represents \ a \ function.`

`(1, 4), (-4, 6), (1, 3), (-8, 2) \ \sf does \ not \ represent \ a \ function.`

`(1, 0), (-4, 3), (8, 1), (-4, 5) \ \sf does \ not \ represent \ a \ function.`

`(8, 1), (-4, 4), (1, 1), (8, 2) \ \sf does \ not \ represent \ a \ function.`

Answer 2

A. (1, 4), (-4, 2), (8, 1), (-8, 2)

Explanation:

Each x goes to only 1 y to be a function

A. (1, 4), (-4, 2), (8, 1), (-8, 2)

function

B. (1, 4), (-4, 6), (1, 3), (-8, 2)

1 goes to 4 and 3 so not a function

C. (1, 0), (-4, 3), (8, 1), (-4, 5)

-4 goes to 3 and 5 so not a function

D. (8, 1), (-4, 4), (1, 1), (8, 2)

8 goes to 1 and 2 so not a function