Q. Look at this set of ordered pairs:(6,16)(6,4)(18,12)Is this relation a function?Choices:(A) yes(B) no
Define Function Criteria: To determine if a set of ordered pairs represents a function, we need to check if each input (first component of each ordered pair) maps to exactly one output (second component of each ordered pair). A function cannot have one input corresponding to multiple outputs.
Examine Given Ordered Pairs: Let's examine the given ordered pairs:(6,16)(6,4)(18,12)We can see that the input ′6′ is associated with two different outputs: ′16′ and ′4′. This violates the definition of a function, which states that each input should map to only one output.
Identify Violation of Function: Since the input 6 maps to two different outputs, we can conclude that the relation represented by the given set of ordered pairs is not a function.