Step 1 :A function is a relation in which each input has exactly one output. In other words, for every x-value there is exactly one y-value.
Step 2 :We can determine whether a relation is a function by checking if any x-values are repeated with different y-values.
Step 3 :Looking at the sets of ordered pairs, we can see that the first set has the x-value 3 repeated with two different y-values, 5 and -3.
Step 4 :Therefore, this set does not represent a function.
Step 5 :\(\boxed{\text{The relation given by the set of ordered pairs } \{(5,-8),(3,5),(3,-3),(2,8)\} \text{ is not a function.}}\)