Use the table to answer the question.

The table displays pairs of \(x\) and \(y\) values. From the table, it's evident that as \(x\) increases by 1, \(y\) also increases by 1. This indicates a linear relationship between \(x\) and \(y\).

Observing the pattern, we can see that \(y\) values are equal to \(x\) values plus a constant negative value. More precisely:

- When \(x=0\), \(y=-10\)
- When \(x=1\), \(y=-9\)
- When \(x=2\), \(y=-8\)
- When \(x=3\), \(y=-7\)

This shows that:

\[
y = x - 10
\]

So, in function notation, this can be expressed as:

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

Thus, the equation described in the table is:

\[
\boxed{f(x) = x - 10}
\]