Write a function to represent the set of ordered pairs.
{(2, 2), (3,7). (4, 14), (5,23)}

Step-by-step explanation:

The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function

The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a

function

The set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function

The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function

An ordered pair represents a relationship between two values

The first value is the input the second value is the output

1. A relation is a set of inputs and outputs

2. A function is a relation with one output for each input

3. 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 function

The 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 function

The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a

function

{(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 function

The 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 function

The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function