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2 marksConcepts of Relations

CSEC Mathematics · May/June 2005 · Paper 2 · Question 9(a)(ii)

The function is f(x) = \frac{12}{x^2}, where 1 \le x \le 4.

State the range of f(x) in the form a \le y \le b, where a and b are constants and y = f(x).

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Other parts of this question

  1. 9(a)(i)Copy and complete the table of values for the function.[2 marks]
  2. 9(b)Using a scale of 4 cm to represent 1 unit on the x-axis and 1 cm to represent 1 unit on the y-axis, draw the graph of the function, f(x) = \frac{12}{x^2}.[5 marks]
  3. 9(c)(i)Estimate the value of x for which f(x) = 7. Draw lines on your graph to show how you obtained your estimated value.[2 marks]
  4. 9(c)(ii)On your graph, draw a tangent to the curve at the point where x = 2. Extend the tangent to intersect the x and y axes. Using your tangent, estimate the…[4 marks]

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