Q:

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

Accepted Solution

A:
Answer:Table P represents a functionStep-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