Respuesta :
I think it’s A because the x is in order from -1,-2, 1, 2
The set of ordered pairs from listed options demonstrating a function is given by: Option A: (-2,-4), (-1, -2), (1, 2), (2, 4)
Firstly, we need the definition a function; based on which we can distinguish the correct set of ordered pairs.
What is a function?
If we have two sets A and B as:
[tex]A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}[/tex]
Then, function [tex]f: A \rightarrow B[/tex] is a connection of elements of A to B such that one element of A is connected to only single element of B, and not many.
The connected pairs are then written as:
[tex]\{(a_i_1,b_j_1), (a_i_2, b_j_2), ... \}[/tex] under the function f.
Now, for the listed ordered pairs, checking if they're functions or not:
- Case 1: (-2,-4), (-1, -2), (1, 2), (2, 4)
Each single input is connected with single output. So it is demonstrating a function.
- Case 2: (-2, 4), (1, 2), (1, -2), (2.-4)
In this case, 1 is connected to 2, and -2 both. Thus, it's not representing a function.
- Case 3: (-2,4), (-1, 2), (-1, 2), (-2,-4)
-1 is only connected to 2, but that does't help as -2 is connected to -4 and 4 both. Thus, it doesn't represent a function.
- Case 4: (-2, 4), (-1, 2), (-1, -2), (-2,-4)
-2 is connected to 4 and -4, and -1 is connected to 4 and -4, so its not a function.
Thus, the set of ordered pairs from listed options demonstrating a function is given by: Option A: (-2,-4), (-1, -2), (1, 2), (2, 4)
Learn more about functions here:
https://brainly.com/question/13395697
