Final answer:
The relation = { (0.5 - 5, 10), (7, 4) } is a function for all values of x.
Step-by-step explanation:
A relation is not a function if there exists at least one input value (x) that corresponds to multiple output values (y). In this case, the relation is given as = { (0.5 - 5, 10), (7, 4) }. To determine if this relation is a function, we need to check if any input value repeats.
- For x = 0.5 - 5, the corresponding output value is y = 10.
- For x = 7, the corresponding output value is y = 4.
Since each input value has a unique output value in this relation, the relation is a function for all values of x.