Quelpr
4 marksInterpreting Quadratic Graphs

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

Using your graph from 9(b).

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 gradient of f(x) at x = 2.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 9(a)(i)Copy and complete the table of values for the function.[2 marks]
  2. 9(a)(ii)State the range of f(x) in the form a \le y \le b, where a and b are constants and y = f(x).[2 marks]
  3. 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]
  4. 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]

More practice: the rest of this paper · more Interpreting Quadratic Graphs questions · all CSEC Mathematics past papers