1. The problem asks to find the function that completes the function machine. 2. The inputs are variables $n$, $c$, and $a$. 3. The outputs are $8n$, $8c$, and $8a$. 4. This means each input is multiplied by 8 to get the output. 5. The function applied to each input $x$ is therefore $f(x) = 8x$. 6. This is a linear function where the output is 8 times the input. 7. No additional operations like addition or subtraction are applied. 8. Hence, the function machine multiplies the input by 8 to produce the output.