Question

A = {a, b, c, d} X = {1, 2, 3, 4}

Select the definition for I that is a well-defined function.
a f = {(a, 2), (b, 3), (d, 1)} f= (a, 2), (b, 3), (b, 3) , d, 1))
c. f = {(a, 2), (b, 3), (c, 3), (d, 1)}
d. f=(a, 2) .(b,3).(c,3).(1,d)

Answer 1

The correct definition for I that is a well-defined function is f = {(a, 2), (b, 3), (c, 3), (d, 1)}.

Step-by-step explanation:

The correct definition for I that is a well-defined function is:

c. f = {(a, 2), (b, 3), (c, 3), (d, 1)}

A well-defined function must have a unique output for each input. In this case, each element in set A is paired with a unique element in set X, ensuring that there are no repeated inputs or outputs. The definition f = {(a, 2), (b, 3), (d, 1)} does not meet this criteria because the input 'b' is paired with two different outputs, (3) and (b, 3).