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