To find the equation described in the table, let's examine the values of \(x\) and \(y\):
The table shows the following pairs of \((x, y)\):
- When \(x = 0\), \(y = -10\)
- When \(x = 1\), \(y = -9\)
- When \(x = 2\), \(y = -8\)
- When \(x = 3\), \(y = -7\)
From the observations, we can see a pattern.
If we analyze the changes to \(y\) as \(x\) increases:
- As \(x\) increases by 1, \(y\) increases by 1 as well.
- This suggests that \(y\) is a linear function of \(x\).
We can express \(y\) as: \[ y = x - 10 \]
This can be expressed in function notation as: \[ f(x) = x - 10 \]
So, using function notation, the equation described in the table is: \[ f(x) = x - 10 \]