We are given three tables of values for three functions, $f(x)$, $g(x)$, and $h(x)$. We need to determine whether each table represents a function.

1. Problem Description

We are given three tables of values for three functions, $f(x)$, $g(x)$, and $h(x)$. We need to determine whether each table represents a function.

2. Solution Steps

A relation is a function if each input ($x$-value) corresponds to exactly one output ($y$-value). In other words, there should be no repeated $x$-values with different $y$-values.

For $f(x)$:

The $x$-values are 1, 2, 3, 4, 5, 6, and the $y$-values are 72, 50, 32, 18, 8,

2. All the $x$-values are distinct, so this table represents a function.

For $g(x)$:

The $x$-values are 1, 2, 3, 4, 5, 6, and the $y$-values are 128, 150, 168, 182, 192,

1

9

8. All the $x$-values are distinct, so this table represents a function.

For $h(x)$:

The $x$-values are 1, 2, 3, 4, 5, 6, and the $y$-values are 2, 8, 18, 32, 50,

7

2. All the $x$-values are distinct, so this table represents a function.

3. Final Answer

$f(x)$ is a function.

$g(x)$ is a function.

$h(x)$ is a function.