Question

The ratio G(x) = ((3,2), (-3,2), (2,4), (-2,4), (3,-2)). By writing the domain of this relation and indicating whether or not it fulfills being a function, we obtain:

a) Dom = (3,2,2,4,3); and it's not a function
b) Dom = (3,-3,2); and it's not a function
c) Dom = (2,4,-2); and it's a function
d) Dom = (-2,3,2,4,6); and it's not a function

Answer 1

The query is to identify the domain of a relation and assess if it constitutes a function. The domain should include all first elements in the given ordered pairs, but because one element corresponds to multiple range values, the relation is not a function.

Step-by-step explanation:

The student is asking about determining the domain of a relation and whether it is a function. The domain of a relation consists of all the first elements of the ordered pairs. In the given relation G(x) = {(3,2), (-3,2), (2,4), (-2,4), (3,-2)}, the domain is {3, -3, 2, -2}. To determine if a relation is a function, each element of the domain must correspond to exactly one element of the range. In the relation G(x), the element 3 from the domain corresponds to two different elements in the range (2 and -2), which violates the definition of a function. Therefore, the correct answer is b) Dom = (3,-3,2,-2); and it's not a function.