To find the equation described in the table using function notation, we can analyze the relationship between \( x \) and \( y \).
From the table:
- When \( x = 0 \), \( y = -10 \)
- When \( x = 1 \), \( y = -9 \)
- When \( x = 2 \), \( y = -8 \)
- When \( x = 3 \), \( y = -7 \)
We observe that as \( x \) increases by 1, \( y \) increases by 1 as well.
This indicates that the function is linear, and we can find the equation of the line. The relationship can be expressed as:
\[ y = x - 10 \]
To put this in function notation:
\[ f(x) = x - 10 \]
Thus, the equation that describes the table is:
\[ f(x) = x - 10 \]