Answer:
(a) The relation is a function
(b)
[tex]Domain = \{-3,2,5,8\}[/tex]
[tex]Range = \{7,5,-3,-2\}[/tex]
Step-by-step explanation:
Given
[tex]\{(-3, 7), (2, 5), (5, -3), (8, -2)\}[/tex]
(a): Is it a function?
A relation has the form: [tex]\{(x_1,y_1),(x_2,y_2)....(x_n,y_n)\}[/tex]
For the relation to be a function, all the x values must be unique and not repeated.
In [tex]\{(-3, 7), (2, 5), (5, -3), (8, -2)\}[/tex], the x values are: -3, 2, 5 and 8.
None of the values are repeated.
Hence, the relation is a function
(b): The domain and the range:
The x values represent the domain while the range are represented by the y values.
So, we have:
[tex]Domain = \{-3,2,5,8\}[/tex]
[tex]Range = \{7,5,-3,-2\}[/tex]
