Q. Look at this set of ordered pairs:(6,19)(6,20)(14,12)Is this relation a function?Choices:(A) yes(B) no
Define Function: Understand the definition of a function in terms of ordered pairs.A set of ordered pairs is a function if for every x-value (first element of the pair), there is exactly one y-value (second element of the pair) associated with it. This means that no x-value is repeated with different y-values.
Examine Ordered Pairs: Examine the given set of ordered pairs to see if any x-value is repeated with different y-values.The given set of ordered pairs is:(6,19)(6,20)(14,12)We can see that the x-value 6 is associated with two different y-values, 19 and 20.
Determine Functionality: Determine if the relation is a function based on the examination in Step 2.Since the x-value 6 is associated with more than one y-value, the relation is not a function.