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Date November 2009 Marks available 5 Reference code 09N.1.hl.TZ0.9
Level HL only Paper 1 Time zone TZ0
Command term Sketch Question number 9 Adapted from N/A

Question

The diagram below shows a sketch of the gradient function \(f'(x)\) of the curve \(f(x)\) .

 

 

On the graph below, sketch the curve \(y = f(x)\) given that \(f(0) = 0\) . Clearly indicate on the graph any maximum, minimum or inflexion points.

 

Markscheme

    A5

Note: Award A1 for origin

A1 for shape

A1 for maximum

A1 for each point of inflexion.

 

[5 marks]

Examiners report

A reasonable number of candidates answered this correctly, although some omitted the \({2^{{\text{nd}}}}\) point of inflection.

Syllabus sections

Topic 6 - Core: Calculus » 6.3 » Graphical behaviour of functions, including the relationship between the graphs of \(f\) , \({f'}\) and \({f''}\) .

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