Question

Which explains why the graph is not a function?

5
4
3-
2+
O It is not a function because the points are not
connected to each other.
O It is not a function because the points are not related
by a single equation
It is not a function because there are two different x-
values for a single y-value.
O It is not a function because there are two different y-
values for a single x-value.
1 +
-5 -4 -3 -2 -11
1
2 3 4 5
X
-2
+
.
-3
-4
-5

Answer 1

We conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x y

-2 -5

-1 3

1 -2

3 0

4 4

4 -2

It is clear that the values of x = 4, is repeated twice.

In other words, the input value x = 4 is duplicated.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, we conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.