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4 marksInterpreting Quadratic Graphs

CSEC Mathematics · May/June 2008 · Paper 2 · Question 10(d)

Draw the tangent to the curve at the point (3, 2.2) as accurately as possible. Hence, estimate the gradient of the curve at the point (3, 2.2). [Show clearly on your graph how the estimates at (c) (i), (ii) and (d) were obtained.]

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Other parts of this question

  1. 10(a)Copy and complete the table below for the function y = 20 / x^2 for 2 ≤ x ≤ 7.[3 marks]
  2. 10(b)(i)Using a scale of 2 cm to represent 1 unit on both axes, plot the points whose x and y values are given in the table at (a).[4 marks]
  3. 10(b)(ii)Draw a smooth curve through the points.[1 mark]
  4. 10(c)(i)Use your graph to estimate the value of y when x = 4.5.[1 mark]
  5. 10(c)(ii)Use your graph to estimate the value of x when y = 3.5.[2 marks]

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