Question

find a value of k such that the relation \\{ (8, 7), (2, 9), (6, 1), (k, 5) \\} does not represent a function.
k = enter your next step here

Explanation:

Step1: Recall function definition

A relation is a function if each input (x - value) has exactly one output (y - value). So, to make the relation not a function, the x - value \(k\) must be equal to one of the existing x - values in the relation \(\{(8,7),(2,9),(6,1),(k,5)\}\). The existing x - values are \(8\), \(2\), and \(6\).

Step2: Choose a value for \(k\)

We can choose \(k = 8\) (or \(k = 2\) or \(k = 6\)). If \(k = 8\), then the x - value \(8\) will be associated with two different y - values (\(7\) and \(5\)), so the relation will not be a function.

Answer:

\(8\) (or \(2\) or \(6\))