The problem asks us to identify the coordinates of points plotted on the graph of a function $f(x)$, then express these points as ordered pairs and fill in a table.

1. Problem Description

The problem asks us to identify the coordinates of points plotted on the graph of a function $f(x)$, then express these points as ordered pairs and fill in a table.

2. Solution Steps

First, we identify the coordinates of the points from the graph from left to right:

Point 1: (-5, -5)

Point 2: (-1, -4)

Point 3: (1, -1)

Point 4: (6, 0)

Point 5: (7, 9)

Next, write the function $f$ as a set of ordered pairs:

$f = \{(-5, -5), (-1, -4), (1, -1), (6, 0), (7, 9)\}$

Finally, we fill the table with the $x$ and $f(x)$ values from the ordered pairs.

3. Final Answer

Ordered Pairs:

$f = \{(-5, -5), (-1, -4), (1, -1), (6, 0), (7, 9)\}$

Table:

x | f(x)

-5 | -5

-1 | -4

1 | -1

6 | 0

7 | 9