Question

Pls tell me these 4 questions, if its a function, how do you know, domain,and range

Answer 1

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}

Step-by-step 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}