Show the mappings between these input and output values for the function mapping $x\to 2x+3$ on the diagram. Here input is $x$, mapping output is $y$.

Complete the mapping diagram for this function machine.

INPUT $\to \boxed{+1}\to \boxed{\times 4}\to$OUTPUT

$$\begin{gathered} \mathrm{INPUT} \mathrm{OUTPUT} \\ \overline{)\begin{array}{c}1\\ 2\\ 3 \\ 4\\ 5\end{array}} \begin{array}{c} \to \\ \to \\ \to \\ \to \\ \to \end{array}\overline{)\begin{array}{c}....\\ ....\\ ....\\ ....\\ ....\end{array}} \end{gathered}$$

Complete the table using this function machine.

INPUT $\to \boxed{\times 2}\to \boxed{-6}\to$OUTPUT

Complete the table using this function machine.

INPUT $\to \boxed{\times 4}\to \boxed{+7}\to$OUTPUT

$$\begin{gathered} x\to \boxed{\times 3}\to \boxed{+13}\to \\ x\to ........ \end{gathered}$$

$$\begin{gathered} x\to \boxed{÷2}\to \boxed{-6}\to \\ x\to ........ \end{gathered}$$

$$\begin{gathered} x\to \boxed{+3}\to \boxed{\times 8}\to \\ x\to ........ \end{gathered}$$

$$\begin{gathered} x\to \boxed{-2}\to \boxed{÷4}\to \\ x\to ........ \end{gathered}$$

Find an expression in terms of $x$ for the output of the function machine below.

$$\begin{gathered} x\to \boxed{\times 2}\to \boxed{+1}\to \boxed{÷3}\to \\ x\to ........ \end{gathered}$$