Q. Look at this set of ordered pairs:(0,−16)(14,3)(14,−7)Is this relation a function?Choices:(A) yes(B) no
Check x-values: Check x-values in the ordered pairs: (0,−16),(14,3),(14,−7).x-values are 0, 14, 14.
Notice repeated x-value: Notice that the x-value 14 is repeated with different y-values. This means the same input gives different outputs.
Violation of function definition: A function must have a unique output for each input. Since 14 maps to both 3 and −7, this violates the definition of a function.
Relation not a function: Therefore, the relation is not a function.