Which of the following are functions and which are relations but not functions from the set of first components of the ordered pairs to the set of second components?
a. {(Montana, Helena), (Oregon, Salem), (Illinois, Springfield), (Arkansas, Little Rock)}
b. {(Pennsylvania, Philadelphia), (New York, Albany), (New York, Niagara Falls), (Florida, Ft. Lauderdale)}
c. {(x,y) | x resides in Birmingham, Alabama, and x is the mother of y, where y is a U.S. resident}
d. {(1,1), (2,4), (3,9), (4,16)}
e. {(x,y) | x and y are natural numbers and x + y is an even number}
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