smc-1089-20-Graph f'(x) given f(x)

Calculus, 2ADV C3 EQ-Bank 1

The graph of is drawn below. Draw a sketch of on the same graph. (2 marks)

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The diagram shows the graph of a function .

The graph has a horizontal point of inflection at , a point of inflection at and a maximum turning point at .

On the diagram above, sketch the graph of the derivative . (3 marks)

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The diagram shows the graph of a function .

For which values of is the derivative, , negative? (1 mark)

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What happens to for large values of ? (1 mark)

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Sketch the graph . (2 marks)

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♦♦ Exact data not available.

ii.

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MARKER’S COMMENT: Poorly drawn graphs with axes not labelled and inaccurate scales were common.

iii.

The graph in the diagram has a stationary point when , a point of inflection when , and a horizontal asymptote .

Sketch the graph , clearly indicating its features at and at , and the shape of the graph as . (3 marks)

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♦ Mean mark 43%
IMPORTANT: Examiners regularly ask questions that require the graphing of an

given the

graph and vice-versa. KNOW IT!