// Numbas version: exam_results_page_options {"name": "Number of Stationary Points of a Cubic", "extensions": ["geogebra", "jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"description": "

Given a graph of a cubic, the student is asked how many stationary points f has.

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This is a non-calculator question

See Lecture 11.4 for the definition and examples of stationary points

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Coefficient of x^3

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Random amount of vertifical shift for sake of variability.

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The number of roots.

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Random amount of horizontal shift to create variability.

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Number of stationary points

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{plotgraph(num_stat,num_roots, a, hshift, vshift)}

\n

Above is the graph of some function \$f\$.

\n

How many stationary points does \$f\$ have? [[0]]

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