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 not a function because both inputs 0 and 5 are associated with multiple outputs (y and 18, and y and 27, respectively). In a function, each input value should only be associated with one output value.
B. This relation is not a function because the input value -1 is associated with two different output values (6 and 12). In a function, each input value should only be associated with one output value.
C. This relation is a function because each student's age in the 9th grade is associated with a single number of siblings they have. Each student's age serves as a unique input that is paired with a unique output, satisfying the definition of a function.