Based on the table provided, we can observe the relationship between \(x\) (the input) and \(y\) (the output).
Here’s the table again for reference:
\[ \begin{array}{c|c} x & y \ \hline 8 & 16 \ 9 & 18 \ 10 & 20 \ 11 & 22 \ \end{array} \]
To express this in function notation, we can identify the relationship. Each output \(y\) appears to be equal to \(2x\). We can verify this:
- For \(x = 8\), \(y = 2 \times 8 = 16\)
- For \(x = 9\), \(y = 2 \times 9 = 18\)
- For \(x = 10\), \(y = 2 \times 10 = 20\)
- For \(x = 11\), \(y = 2 \times 11 = 22\)
Thus, the function can be represented as:
\[ f(x) = 2x \]
Here, \(f\) is the name of the function, and \(x\) is the input.