Answer:
Yes, a relation may assign more than one output value to one of its input values.
i.e. the answer is TRUE.
Explanation:
Let A={a,b,c,d} be a set.
Then a relation on a set A is the set or collection of the ordered pair of the type: (x,y) where x and y belongs to the set.
For example--
R={(a,a), (a,b),(a,c),(c,d),(d,a),(d,b)}
is a relation on a set A.
Here the input value may be mapped to more than one element.
for example a is mapped to a , b and c
But for a function each input must be mapped to a single output value.
Hence, the given statement is TRUE.