Question

Determine the relationship between x and f(c) in the table below and write the equation

Answer 1

Looking at the only columns where we have both x and f(x), we can see this couples:

$\begin{array}{c|c}x&f(x)\\1&1\\49&7\\25&5\end{array}$

We can see that the output is always the square root of the input, so the function is

$f(x)=\sqrt{x}$

and the table completes to

$\begin{array}{c|c}x&f(x)\\9&3\\1&1\\100&10\\4&2\\49&7\\16&4\\0&0\\25&5\\20&\sqrt{20}\end{array}$