Question

determine whether the relationship represented by the table is a function.

$x$	$f(x)$
$-85$	$-22.4$
$32.6$	$38.7$
$-95.4$	$-55.2$
$38.7$	$-22.4$

Explanation:

Step1: Recall function definition

A relationship is a function if every input $x$ has exactly one output $f(x)$; no repeated $x$-values with different $f(x)$ values.

Step2: Check all $x$-values

List $x$-values: $-96.8, -85, 32.6, -95.4, 38.7$. All $x$-values are unique, so each has one corresponding $f(x)$.

Answer:

The relationship represented by the table is a function.