Question

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

Answer 1

The answer is A I just took the test

Answer 2

Table P represents a function

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