Final answer:
Yes, the set of points {(1,4), (2,3), (3,2), (4,1), (5,6), (6,5)} represents a function. It is not reflexive or symmetrical.
Step-by-step explanation:
Yes, the set of points {(1,4), (2,3), (3,2), (4,1), (5,6), (6,5)} represents a function. In a function, each input (x-value) corresponds to exactly one output (y-value). In this set of points, each x-value appears only once and is paired with a unique y-value. Therefore, this set of points represents a function.
The relation represented by these points is not reflexive because for every element (x, y) in the set, (y, x) is not present. A relation is symmetric if for every (x, y) in the set, (y, x) is also in the set. In this set, if (x, y) is present, (y, x) is not.