Question

State the domain and range of the relation. Thendetermine whether the relation is a function. Writeyes or no.{(14, 1), (-3, 6), (8,4)}

Answer 1

In this problem, we are trying to interpret a set of points to determine the domain and range, and if it is a function.

Domain: The domain of a function is all the possible x-values. In this case, the x-coordinates.

Range: The range of a function is all the possible y-values, or x-coordinates.

We are given the following points:

$\begin{gathered} (14,1) \\ \\ (-3,6) \\ \\ (8,4) \end{gathered}$

To find the domain, we just need the x-values:

$\begin{gathered} (\boxed{14},1) \\ \\ (\boxed{-3},6) \\ \\ (\boxed{8},4) \end{gathered}$

Our domain is: -3, 8, 14 (in numeric order).

We can follow the same procedure for the range:

$\begin{gathered} (14,\boxed{1}) \\ \\ (-3,\boxed{6}) \\ \\ (8,\boxed{4}) \end{gathered}$

Our range is: 1, 4, 6, in numeric order.

Finally, we need to know if the set of points is a function.

We know if a set of points is a function when no x-values are repeated with different y-values. We see form our points that the domain has no repeating x-values.

Therefore, yes, this set of points shows a function.