Question

The table shows the locations of five points on the coordinate plane.

Point
E
F
G
H
I
Location
(4, -11)
(4,9)
(3, -11)
(0,9)
(4,9)
Removing which point will allow the table to represent a function?
A
Point
В
Point G
С
Point H
D
Point /

Answer 1

To answer this question, we need to remember that a function is a relation in which for every value in the domain we will have only one element of the range for the value of that domain. In other words, for every input we have, we will have only one output.

In the question we have the following points:

`\begin{gathered} E\rightarrow(4,-11) \\ F\rightarrow(-4,9) \\ G\rightarrow(3,-11) \\ H\rightarrow(0,-9) \\ I\rightarrow(4,9) \end{gathered}`

And we can see that the value for x = 4 has two different values, and for being this a function, we need that x = 4 has only one value. That is,

(4, -11) and (4, 9). Therefore, if we remove a point, I (4, 9), we will have a table that will represent a function.

Therefore, in summary, if we remove the point (4, 9), Point I, the table will represent a function (option D).