Question

X. Y
8. 16
9. 18
10. 20
11. 22

Representing the function given in the table using function notation. Name the function as f and the input as x

Answer 1

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.