Is the following relation a function? (1 point)
two ovals, one labeled x and the other labeled y. The negative 2 in the x oval is pointing to the 3 in the y oval, the 0 in x is pointing to 1 in y, 5 in x pointing to 8 in y, and 7 in x pointing to 5 in y
Yes
No
Since no x value maps to more than one y-value, yes, it is a function.
To determine if the relation is a function, we need to check if each value in the "x" oval corresponds to a unique value in the "y" oval.
From the given information, we have:
- x = -2 corresponds to y = 3
- x = 0 corresponds to y = 1
- x = 5 corresponds to y = 8
- x = 7 corresponds to y = 5
Since each value in the "x" oval maps to a unique value in the "y" oval, we can conclude that the given relation is indeed a function.
Therefore, the answer is: Yes.
To determine whether the given relation is a function or not, we need to check if each value in the domain (x-values) is associated with only one value in the range (y-values).
In the given relation, we have the following pairs:
( -2, 3)
( 0, 1)
( 5, 8)
( 7, 5)
Since each x-value is associated with exactly one y-value, this relation is a function.
Explanation of why it is a function:
To determine if a relation is a function, we examine the x-values and make sure that each one appears only once in the relation. In this case, each x-value (-2, 0, 5, and 7) appears only once. Therefore, the given relation is a function.
If any x-value were to be associated with more than one y-value, then the relation would not be a function. In this case, we do not have duplicate x-values, so it satisfies the requirement for being a function.