Answer:
Yes, the graph represents a function
Because every x has only one value of y
Domain: {-1, 0, 1, 4)
Range: {2, 0, -2, -1}
Explanation:
The set of ordered pairs represents a function if every x-coordinate of the ordered pairs has only one value of y
Example:
{(1, 3), (2, 5), (-1, 3)} is a function because x = 1 has only y = 3, x = 2 has only y = 5, and x = -1 has only y = 3
{(1, 2), (3, -5), (1, 3)} is not a function because x = 1 has two values of y = 2, 3
In the given figure
∵ The graph represents the ordered pairs (-1, 2), (0, 0), (1, -2), (4, -1)
∵ x = -1 has only y = 2
∵ x = 0 has only y = 0
∵ x = 1 has only y = -2
∵ x = 4 has only y = -1
∴ Every x has only one value of y
∴ The graph represents a function because every x has only 1 value of y
∵ The domain is the values of x
∴ The domain is {-1, 0, 1, 4)
∵ The range is the values of y
∴ The range is {2, 0, -2, -1}