Step 1

We are given the function:

\(\displaystyle{f{{\left({x}\right)}}}={1}+\sqrt{{{x}}}\)

Step 2 Build a table of values:

\(\begin{array}{|c|c|} \hline x & f(x) \\ \hline 0 & 1 \\ \hline 1 & 2\\ \hline 4 & 3\\ \hline 9 & 4\\ \hline 16 & 5\\ \hline 25 & 6\\ \hline \end{array}\)

Step 3

Plot the points and join them by a curve: