For each of the following relations, explain why they are or are not a function using complete sentences.
A.
x 0 4 5 7
y 2 18 27 51
B.
x -2 -1 0 -1
y 3 6 9 12
C. Domain: The ages of the students in GACA's 9th grade. Range: The number of siblings they have.
A. This relation is a function because each value of x corresponds to exactly one value of y. For example, when x = 0, y = 2, and when x = 4, y = 18. There are no repeated x-values.
B. This relation is not a function because the x-value -1 is associated with two different y-values, 6 and 12. Each x-value should correspond to only one y-value in a function.
C. Without additional information, we cannot determine whether this relation is a function or not. It depends on whether each age in the domain has a unique corresponding number of siblings in the range.