Answer:
The domain of the function is { -2 , 0 , 1 , 2 , 3 , 4} ⇒ 1st answer
Step-by-step explanation:
* Lets explain the meaning of the function
- The function is a relation between x and y under condition of
every x has only one value of y
Ex: The relation {(-1 , 2) , (2 , 4) , (3 , 2)} is a function because
every x has one value of y
The relation {(-1 , 2) , (2 , 4) , (2 , 2)} is NOT a function because
one x has two values of y ⇒ 2 has two values of y 4 and 2
- x is the input and called the domain of the function
- y is the output and called the range of the function
* Lets solve the problem
∵ The set of points = {(-2, -4) , (0 , 0) , (1 , 1) , (2 , 2) , (3 , 1) , (4 , 6)}
- Every x has only one value of y
∴ The set of points is a function
∵ The domain of the function is the values of x
∴ The domain of the function is { -2 , 0 , 1 , 2 , 3 , 4}