Q. Look at this set of ordered pairs:(1,19)(16,5)(1,11)Is this relation a function?Choices:(A) yes(B) no
Define Function: Define what a function is in terms of ordered pairs.A relation is a function if each input (first component of the ordered pairs) corresponds to exactly one output (second component of the ordered pairs). This means that for a set of ordered pairs to be a function, each x-value should be paired with only one y-value.
Examine Ordered Pairs: Examine the given set of ordered pairs to see if any input value is repeated with different output values.The given set of ordered pairs is:(1,19)(16,5)(1,11)We can see that the input value 1 is associated with two different output values 19 and 11.
Determine Functionality: Determine if the relation is a function based on the examination in Step 2. Since the input value '1' is paired with more than one output value, the relation is not a function.