Question

The domain and range of a relation are given below.

Domain: {5, 10}
Range: {-15, -10, -5}
Which statement best explains whether or not this relation is a function?
a) It is not a function because there are more values in the range than in the domain.
b) This could be a function because there are more values in the range than in the domain.
c) It is not a function because the domain values are positive and the range values are negative.
d) This could be a function because the domain values are positive and the range values are negative.

Answer 1

It is not a function because for each input (domain value), there are multiple output (range values). Option A is answer.

Step-by-step explanation:

A function is a special type of relation where each input (x-value) corresponds to exactly one output (y-value). In this case, the input 5 has two corresponding outputs: -15 and -5. Therefore, this relation is not a function.

In conclusion, the domain and range of the relation are {5, 10} and {-15, -10, -5}, respectively. The relation is not a function because there are multiple output values for a single input value. This means that for each domain value (5), there are two corresponding range values (-15 and -5). Therefore, the relation does not satisfy the definition of a function.

Option A is answer.