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This is a non-calculator question.

Student is asked to sketch square root graph, by plotting several points and selecting the correct graph.

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{dragpoint()}

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We want to sketch a graph of the function $f(x) = \\sqrt{x}$.  We will do this be plotting several points, and then seeing the overall pattern that emerges.

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(i) By filling in a table like the one below, drag the points A to H to the correct location.

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
 Point A B C D E F G H $x$ $\\var{x[0]}$ $\\var{x[1]}$ $\\var{x[2]}$ $\\var{x[3]}$ $\\var{x[4]}$ $\\var{x[5]}$ $\\var{x[6]}$ $\\var{x[7]}$ $f(x)$
\n

\n

\n

(Note, to be marked correctly, you only need to move the points to within 0.04 of the exact location.)

\n

\n

\n

\n

(ii) Hence, select the graph of $f(x)=\\sqrt{x}$ from below:

\n

[[8]]

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", "

", "

", "

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