Question

State the domain of the function.

Discrete graph defined on the set of points negative two comma negative four and zero comma zero and positive one comma positive one and positive two comma positive two and positive three comma positive one and positive four comma positive six.

{−2, 0, 1, 2, 3, 4}
{−4, 0, 1, 2, 6}
{0, 1, 2, 3}
{−2, 4}

Answer 1

The domain of the function is { -2 , 0 , 1 , 2 , 3 , 4} ⇒ 1st answer

Explanation:

Answer 2

The domain of the function is { -2 , 0 , 1 , 2 , 3 , 4} ⇒ 1st answer

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}