The table shows a linear relationship between \( x \) and \( y \).
From the table, we can see that as \( x \) increases by 1, \( y \) increases by 1. This indicates a slope of 1.
To find the equation in function notation \( f(x) \), we can start with the general linear equation form:
\[ f(x) = mx + b \]
Where \( m \) is the slope and \( b \) is the y-intercept.
From the points given, we can identify the slope \( m = 1 \).
Next, to find the y-intercept \( b \), we can use one of the points from the table. When \( x = 0 \), \( y = -10 \), this gives us the y-intercept directly:
So, \( b = -10 \).
Thus, the function notation becomes:
\[ f(x) = 1x - 10 \]
Which can be simplified to:
\[ f(x) = x - 10 \]
So the answer is:
f(x) = x - 10