Question

Is the relation a function? (0,3),(1,4),(2,3),(3,0),(5,4) (A) Yes; Each x-value has a unique y-value. (B) Yes; Each y-value has a unique x-value. (C) No; Two points have different y-values for the same x-value of 3 . (D) No; Two points have different x-values for the same y-value of 3 .

Answer 1

The relation given by the points is a function because each x-value is associated with a unique y-value, satisfying the definition of a function.

Step-by-step explanation:

The student asked whether the relation given by the points (0,3), (1,4), (2,3), (3,0), (5,4) is a function. To determine if a relation is a function, we must verify if each x-value in the pairings corresponds to exactly one y-value. Looking at the set of points provided, we can see that each x-value is paired with a unique y-value. Therefore, each x-value has a unique y-value, confirming that the relation is indeed a function. The correct answer to the question is (A) Yes; Each x-value has a unique y-value.