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Graphs, MET1 2016 VCAA 5

Let  , where    and  , where  .

  1.   i. Find the rule for , where  .   (1 mark)

    ii. State the domain and range of .   (2 marks)

  2. iii. Show that  .   (2 marks)

  3. iv. Find the coordinates of the stationary point of and state its nature.   (2 marks)

     

  4. Let    where  .
  5.  i. Find the rule for  .   (2 marks)

  6. ii. State the domain and range of  .   (2 marks)

Show Answers Only
  1.   i.
  2.  ii.
  3. iii.
  4. iv.
  5.  i.
  6. ii.
  7.    
Show Worked Solution
a.i.   
   

 

a.ii.  

♦♦ Mean mark part (a)(ii) 30%.
 
 

 

MARKER’S COMMENT: Many students were unsure of how to present their working in this question. Note the layout in the solution.
a.iii.  
   
   
   

 

 

 

 

a.iv.  

♦ Mean mark part (a)(iv) 41%.
MARKER’S COMMENT: Solving a fraction is zero

   

 

 

b.i.  

♦ Mean mark (b)(i) 49%.
MARKER’s COMMENT: Many students failed to consider the restrictions on the domain in and only select the negative root.

 

 

♦ Mean mark part (b)(ii) 44%.

 

b.ii.