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Functions, EXT1′ F1 2019 HSC 12d

Consider the function  .

  1.  Sketch the graph  .  (1 mark)

  2.  Sketch the graph  .  (2 marks)

  3.  Without using calculus, sketch the graph  .  (2 marks)

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i.   

 

ii.   

 

iii.   

Functions, EXT1′ F1 2018 HSC 12d

The diagram shows the graph of the function  .
  


 

Draw a separate half-page graph for each of the following functions, showing all asymptotes and intercepts.

  1.    (1 mark)

  2.    (2 marks)

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i.   

ii.

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i.   

 

ii.   

Functions, EXT1′ F1 2007 HSC 3a

The diagram shows the graph of  . The line    is an asymptote.

Draw separate one-third page sketches of the graphs of the following:

  1.     (1 mark)

  2.     (2 marks)

  3.       (2 marks)

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  1.  

     

  2.  
  3.  
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i.  
MARKER’S COMMENT: In part (ii), a significant number of students graphed  .
ii.

 

iii. 

Functions, EXT1′ F1 2009 HSC 3a

The diagram shows the graph  
 


 

Draw separate one-third page sketches of the graphs of the following:

  1.    (2 marks)

  2.    (2 marks)

  3.    (2 marks)

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i.

HSC 2009 3aii

 

ii.  

iii.  

 

 

 

 

 

 

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i.   


 

HSC 2009 3aii

 

ii. 

   HSC 2009 3aiii

 

iii.   


 

 

 

 

 

 

 

Functions, EXT1′ F1 2013 HSC 13b

The diagram shows the graph of a function
 

Sketch the following curves on separate half-page diagrams.

  1.     (2 marks)

  2.     (3 marks)

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i.   


 

ii. 

MARKER’S COMMENT: Correct working sketches such as and meant that students could obtain some marks, even if their final sketch was wrong. Note this important advice.