Which of the tables represents a function? Table P Input Output 8 3 1 7 5 4 Table Q Input Output 9 3 9 5 4 2 Table R Input Output 7 2 8 6 7 3 Table S Input Output 1 7 1 5 9 2 Table P Table Q Table R Table S

Table P represents a function

Step-by-step explanation:

* Lets explain the meaning of the function

- A function is a relation between a set of inputs and a set of outputs

in condition of each input has exactly one output

- Ex:

# The relation { (1, 2), (-4, 5), (-1, 5) } is a function because each x in the

order pair has only one value of y

# The relation { (1, 2), (1, 5), (3, 7) } is not a function because there is x

in the order pairs has two values of y (x = 1 has y = 2 and y = 5)

* Lets solve the problem

# Table P:

- In put : 8, 1, 5

- Out put : 3, 7, 4

∵ Each input has only one output

∴ Table P represents a function

# Table Q:

- Input : 9, 9, 4

- Out put : 3, 5, 2

∵ The input 9 has two outputs 5 and 2

∴ Table Q doesn't represent a function

# Table R:

- In put : 7, 8, 7

- Out put : 2, 6, 3

∵ The input 7 has two outputs 2 and 3

∴ Table R doesn't represent a function

# Table S:

- In put : 1, 1, 9

- Out put : 7, 5, 2

∵ The input 1 has two outputs 7 and 5

∴ Table S doesn't represent a function

* Table P represents a function