Q. Look at this set of ordered pairs:(13,19)(0,12)(15,14)(7,8)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) is associated with exactly one output (second component of the ordered pairs). This means that in a function, no input value can be paired with more than one output value.
Examine Ordered Pairs: Examine the set of ordered pairs to see if any input value is repeated with different output values.The given set of ordered pairs is:(13,19)(0,12)(15,14)(7,8)We need to check if any first component (input) is repeated with a different second component (output).
Verify Uniqueness: Verify the uniqueness of each input's output.Looking at the ordered pairs, we see that:- The input 13 is paired with the output 19.- The input 0 is paired with the output 12.- The input 15 is paired with the output 14.- The input 7 is paired with the output 8.None of the input values are repeated with different output values.
Conclude Relation: Conclude whether the relation is a function based on the examination.Since no input value is paired with more than one output value, the relation given by the set of ordered pairs is a function.