Question

Select the correct answer from each drop down menu

a relation is defined by the points (1,4), (3,-1), (-1,-2) and (1,-3)

this relation (is) (is not) a function because there (is no x-value) (is one x-value) (are two x-values) corresponding to multiple y-values.

Answer 1

The relation given by the points (1,4), (3,-1), (-1,-2), and (1,-3) is not a function because the x-value '1' corresponds to two different y-values, violating the definition of a function.

Step-by-step explanation:

The question relates to determining whether a given relation represents a function based on the set of points provided. In mathematics, specifically in the concept of functions, each input (or x-value) must correspond to exactly one output (or y-value). If we analyze the points (1,4), (3,-1), (-1,-2), and (1,-3), we can see that the x-value '1' corresponds to two different y-values, which are '4' and '-3'. Therefore, this relation is not a function because there are two x-values corresponding to multiple y-values.

Answer 2

The answer is that the relation is not a function. because there are two x-values corresponding to multiple y-values

Step-by-step explanation:

Here we want to explain why the given set of points do not represent a function

For a function, we can have same y value for different x value

But, we cannot have same x value for different y value

The sets of point given however has 2 y-values having same x value and as such the points cannot form a function (1,4) and (1,-3)