Higher November 2020 Paper 3 Q24

24 A and B are points on a curve.

A is (2, 7)     B is (12, 0)

Grid with x from 0 to 12 and y from 0 to 10. A curve starts at (0, 3), rises through A (2, 7) to a maximum of about 9.4 at x = 6, then falls steeply to B (12, 0)
(a) Work out the instantaneous rate of change of \(y\) with respect to \(x\) at point A. [2 marks]
(b) The average rate of change of \(y\) with respect to \(x\) between points A and B is worked out.

Which statement is correct?

Tick one box. [1 mark]

  • It is positive.
  • It is zero.
  • It is negative.
  • You cannot tell if it is positive or negative.