Answer:
[tex]\{(2,8),(2,1),(-9,-5),(-8,9)\}[/tex] is not a function
Step-by-step explanation:
Given
[tex]\{(-3,-1),(8,-1),(0,-5),(-9,-2)\}[/tex]
[tex]\{(5,9),(-3,-5),(0,4),(-9,9)\}[/tex]
[tex]\{(9,0),(-5,4),(5,0),(6,3)\}[/tex]
[tex]\{(2,8),(2,1),(-9,-5),(-8,9)\}[/tex]
Required
Which is not a function
A function is of the form [tex](x,y)[/tex]
Assume a function is:
[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3).....,(x_n,y_n)\}[/tex]
In simple terms:
For an ordered pair to be regarded as a function, no x value must be repeated
Analyzing the options:
1. [tex]\{(-3,-1),(8,-1),(0,-5),(-9,-2)\}[/tex]
This is a function because none of the x values (-3, 8, 0 and -9) appeared more than once
2. [tex]\{(5,9),(-3,-5),(0,4),(-9,9)\}[/tex]
This is a function because none of the x values (5, -3, 0 and -9) appeared more than once
3. [tex]\{(9,0),(-5,4),(5,0),(6,3)\}[/tex]
This is a function because none of the x values (9, -5, 5 and 6) appeared more than once
4. [tex]\{(2,8),(2,1),(-9,-5),(-8,9)\}[/tex]
This is not a function because one of the x values (2) appeared more than once.
i.e.
[tex](2,8)[/tex] and [tex](2,1)[/tex]
