i think the answer is The 1st table represents a function
Lets explain how to solve the problem
- Function is a relation where each input has a single output
- The notation of the function is f(x) = y , where x is the input of the
function and y is the out put of the function
- The domain of the function is x and the range of the function is y
* Lets find which table represent a function
# First table:
x y
-3 -1
0 0
-2 -1
- In the first table
∵ -3 has only -1
∵ 0 has only 0
∵ -2 has only -1
∵ 8 has only 1
∵ Every x has a single y
∴ The table represents a function
∴ The 1st table represents a function
- In the second table
x y
-5 -5
0 0
-5 5
6 -6
∵ x = -5 has y = -5 and y = 5
∴ One x has two values of y
∴ The table doesn't represent a function
- In the third table
x y
-4 8
-2 2
-2 4
0 2
∵ x = -2 has y = 2 and y = 4
∴ One x has two values of y
∴ The table doesn't represent a function
- In the fourth table
x y
-4 2
3 5
-4 0
∵ x = -4 has y = 2 and y = 0
∴ One x has two values of y
∴ The table doesn't represent a function