Higher November 2020 Paper 3 Q24
24 A and B are points on a curve.
A is (2, 7) B is (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.
| Answer | Mark | Comments |
|---|---|---|
| Draws a tangent at (2, 7) | M1 | Must see a tangent on the graph |
| Their gradient at (2, 7) | A1ft | ft their tangent ± 0.2 tolerance on their readings |
Additional guidance
| Mark intention for drawing of tangent | |
| No tangent drawn | M0A0 |
| Answer | Mark | Comments |
|---|---|---|
| It is negative | B1 |