Q:

Which of the following sets of ordered pairs does not define a function? {(βˆ’1,4),(0,4),(1,4),(2,4),(3,4)} { ( βˆ’ 1 , 4 ) , ( 0 , 4 ) , ( 1 , 4 ) , ( 2 , 4 ) , ( 3 , 4 ) } {(1,2),(5,6),(6,7),(10,11),(13,14)} { ( 1 , 2 ) , ( 5 , 6 ) , ( 6 , 7 ) , ( 10 , 11 ) , ( 13 , 14 ) } {(1,1),(2,2),(3,3),(4,4),(5,5)} { ( 1 , 1 ) , ( 2 , 2 ) , ( 3 , 3 ) , ( 4 , 4 ) , ( 5 , 5 ) } {(1,3),(5,2),(6,9),(1,12),(10,2)}

Accepted Solution

A:
The set of ordered pairs that defines a function is: Β {(1,3),(5,2),(6,9),(1,12),(10,2)} (last option).What is a Function?A set of ordered pairs that defines a function will have exactly one y-value that assigned to every x-value. In essence, it means none of its x-values can have two corresponding y-value.All the sets of ordered pairs have exactly one y-value that corresponds to each of its x-value except {(1,3),(5,2),(6,9),(1,12),(10,2)}, which have two different y-values that corresponds to the x-value of 1.Therefore, the set that doesn't define a function is: Β {(1,3),(5,2),(6,9),(1,12),(10,2)} (last option).Learn more about function on: