Question

Which of the following relations represents y as a function of x? *

a) {(-5, -1), (-3,-3), (-1,-5), (-5, - 7)}
b) {(6, 3), (4, 5), (2, 3), (0, 5)}
c) {(4, -3).(-4,- 6), (4, 3), (- 4,6)}
d) {(2,4),( 2,-4), (4,8), (6, 2)}

Answer 1

Option (b) {(6, 3), (4, 5), (2, 3), (0, 5)} represents y as a function of x.

Step-by-step explanation:

The relation that represents y as a function of x is option (b) {(6, 3), (4, 5), (2, 3), (0, 5)}.

To determine if a relation represents y as a function of x, we need to check if each x-value is paired with exactly one y-value. In option (b), each x-value is paired with exactly one y-value, which satisfies the criteria for a function.

For example, when x is 6, y is 3. When x is 4, y is 5. And so on.