4MA0 Higher June 2015 Paper 3R Q20
20 The diagram shows parts of the graphs of \(y = \mathrm{f}(x)\) and \(y = \mathrm{g}(x)\).
(a) Find g(0) (1)
(b) Find gf(–1) (2)
(c) Calculate an estimate for the gradient of the curve \(y = \mathrm{f}(x)\) at the point on the curve where \(x = 3\) (3)
| Scheme | Marks |
|---|---|
| 2 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| f(–1) = 8 | M1 |
| – 2 | A1 |
| (2) |
Notes
M1: may see on graph
| Scheme | Marks |
|---|---|
| Line drawn with negative gradient at (3, –4) | M1 |
| M1 | |
| –1 | A1 |
| (3) |
Notes
M1: correct method to find gradient (vertical / horizontal ignore sign at this stage – must use scale on graph)
A1: accept –0.7 to –1.4 inc dep on method seen