Question

Which explains why the graph is not a function? It is not a function because the points are not connected to each other. 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. It is not a function because there are two different y-values for a single x-value.

Answer 1

A function is a relationship between two sets of variables, the domain and the range, in which each value of the independent variable (the domain) is associated with exactly one value of the dependent variable (the range). Therefore, a graph is not of a function when there are two different values of y for a single value of x. 

Answer 2

Answer:

The correct option is 4.

Step-by-step explanation:

A relation is a function if and only if for each value of x, there exist a unique value of y.

It means if a relation contains $(x,y_1)$ and $(x,y_2)$, where $y_1\neq y_2$, then the relation is not a function.

We need to find a reason why the graph is not a function.

The reason is "it is not a function because there are two different y-values for the single x-value".

Therefore the correct option is 4.