Answer:
e) is the correct one
Step-by-step explanation:
A function is a set of order pairs in which the first coordinate appears only once, it is a special kind of relation. Option e) is the one matching the definition.
a) A set of order pairs is not a function, but a relation. A special kind of function which no to ordered pairs have the same second coordinate is an injective function.
b) A special kind of function in which no two ordered pairs have the same first coordinate is just a function
c) A set of ordered pairs in which no two ordered pairs have the same first coordinate is a function, not a relation. The definition of function is wrong, but a set of order pairs in which no two ordered pairs have the same first coordinate, and also no two ordered pairs have the same second coosrinate is a injective funciton.
d) The definition for relation is correct, but in the definition of funciton it is not the second coordinate, but the first one.
