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5 marksGraphs of Non-Linear Functions

CSEC Mathematics · January 2013 · Paper 2 · Question 9(a)(ii)

The table shows corresponding values of x and y for the function y = 3/x, x ≠ 0, where y represents the velocity of a particle after x seconds.

Using a scale of 2 cm to represent 1 unit on the x axis and 1 cm to represent 1 unit on the y axis, plot the points from your table, drawing a smooth curve through all points.

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Other parts of this question

  1. 9(a)(i)Copy and complete the table for the function.[2 marks]
  2. 9(b)(i)Write f(x) = 3x^2 – 5x + 1 in the form a(x – h)^2 + k where a, h and k are constants to be determined.[2 marks]
  3. 9(b)(ii)Hence, or otherwise, determine the minimum value of f(x) and the value of x for which f(x) is a minimum.[2 marks]
  4. 9(b)(iii)Solve the equation 3x^2 – 5x + 1 = 0 expressing your answer correct to two decimal places.[4 marks]

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