Q:

The table shows sets of ordered pairs that form a relation. Does each set of ordered pairs represent a function? Select Function or Not a Function for each set of ordered pairs. Set of ordered pairs Function Not a Function {(1,7),(−1,7),(8,−6),(−3,2)} {(4,7),(−1,2),(4,−6),(−3,−2)} {(3,7),(−1,2),(−4,−2),(−3,−2)} {(−3,7),(1,2),(4,−2),(12,−4)}

Accepted Solution

A:
The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a functionThe set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not afunctionThe set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a functionThe set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a functionStep-by-step explanation:An ordered pair represents a relationship between two valuesThe first value is the input the second value is the output1. A relation is a set of inputs and outputs2. A function is a relation with one output for each input3. All functions are relations{(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)}∵ Each x-coordinate in each ordered pair has only one y-coordinate∴ The relation above is a functionThe set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function{(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)}∵ The x-coordinate 4 has two values of y (7 and -6)∴ The relation above is not a functionThe set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not afunction{(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)}∵ Each x-coordinate in each ordered pair has only one y-coordinate∴ The relation above is a functionThe set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function{(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)}∵ Each x-coordinate in each ordered pair has only one y-coordinate∴ The relation above is a functionThe set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a functionLearn more:You can learn more about function in brainly.com/question/10382470#LearnwithBrainly