# Sketch a graph of the function and use transformations of functions when ever possible f(x)=1+\sqrt{x}

Sketch a graph of the function. Use transformations of functions when ever possible. $$\displaystyle{f{{\left({x}\right)}}}={1}+\sqrt{{{x}}}$$

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Nathanael Webber

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: