Use the table to answer the question.

To determine the equation described in the table using function notation, we can observe the values of \( x \) and \( y \) to identify a pattern.

The values in the table are:

\[
\begin{align*}
y & = -10 \quad \text{when} \quad x = 0 \\
y & = -9 \quad \text{when} \quad x = 1 \\
y & = -8 \quad \text{when} \quad x = 2 \\
y & = -7 \quad \text{when} \quad x = 3 \\
\end{align*}
\]

From the observations:
- As \( x \) increases by 1, \( y \) increases by 1.

This indicates a linear relationship with the slope \( m = 1 \).

We also know that when \( x = 0 \), \( y = -10 \). This gives us the \( y \)-intercept \( b = -10 \).

Therefore, we can write the equation in the slope-intercept form \( y = mx + b \) as follows:

\[
y = 1x - 10
\]

In function notation:

\[
f(x) = 1x - 10
\]

Thus, filling in the blanks:

\[
f(x) = 1x + (-10)
\]

So, the final answer is:

\[
f(x) = 1x - 10
\]

You can summarize as:

- The coefficient of \( x \) is 1.
- The constant is -10.