// Numbas version: exam_results_page_options {"name": "Barry's copy of Sketching graphs: sketch log_2", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Barry's copy of Sketching graphs: sketch log_2", "preamble": {"css": "", "js": ""}, "variable_groups": [], "advice": "

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See Lecture 7.4

{dragpoint()}

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We want to sketch a graph of the function \$f(x) = \\log_2(x)\$.  We will do this be plotting several points, and then seeing the overall pattern that emerges.

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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)\$
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(Note, to be marked correctly, you only need to move the points to within 0.1 of the exact location.)

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Hence, select the graph of \$f(x)=\\log_2(x)\$ from below:

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[[0]]

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Which of the following are true for the graph of \$\\log_2(x)\$.

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The y-intercept.

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Student is asked to sketch \$f(x)=\\log_2(x)\$, by plotting several points and selecting the correct graph.

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