Question

consider the relation given in the table
input output
$x$ $f(x)$
$-44$ $-4$
$-25$ $-4.3$
$71$ $-5.5$
$98$ $-4.6$
$7$ $-8.8$

enter an $x-$ value that would cause this relation to not be a function?

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Explanation:

Step1: Recall function definition

A relation is not a function if one input ($x$-value) maps to more than one distinct output ($f(x)$-value).

Step2: Identify existing $x$-values

The current $x$-values are $-44, -25, 71, 98, 7$.

Step3: Select a repeat $x$-value

Using any existing $x$-value will create a duplicate input with a new unique output, breaking the function rule.

Answer:

$-44$ (or $-25$, $71$, $98$, $7$ are all valid answers)