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Date May 2014 Marks available 4 Reference code 14M.1.sl.TZ2.6
Level SL only Paper 1 Time zone TZ2
Command term Sketch Question number 6 Adapted from N/A

Question

 The following diagram shows part of the graph of \(y = f(x)\).

The graph has a local maximum at \(A\), where \(x =  - 2\), and a local minimum at \(B\), where \(x = 6\).

 

On the following axes, sketch the graph of \(y = f'(x)\).

[4]
a.

Write down the following in order from least to greatest: \(f(0),{\text{ }}f'(6),{\text{ }}f''( - 2)\).

[2]
b.

Markscheme

     A1A1A1A1     N4

 

Note: Award A1 for x-intercept in circle at \(-2\), A1 for x-intercept in circle at \(6\).

     Award A1 for approximately correct shape.

     Only if this A1 is awarded, award A1 for a negative y-intercept.

 

[4 marks]

a.

\(f''( - 2),{\text{ }}f'(6),{\text{ }}f(0)\)     A2     N2

[2 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

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

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