Answer:
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