| Date | None Specimen | Marks available | 3 | Reference code | SPNone.2.sl.TZ0.2 |
| Level | SL only | Paper | 2 | Time zone | TZ0 |
| Command term | Sketch | Question number | 2 | Adapted from | N/A |
Question
Let f(x)=4x−ex−2−3 , for 0≤x≤5 .
Find the x-intercepts of the graph of f .
[3]
a.
On the grid below, sketch the graph of f .
[3]
b.
Write down the gradient of the graph of f at x=3 .
[1]
c.
Markscheme
intercepts when f(x)=0 M1
(0.827, 0) (4.78, 0) (accept x=0.827, x=4.78 ) A1A1 N3
[3 marks]
a.
A1A1A1 N3
Note: Award A1 for maximum point in circle, A1 for x-intercepts in circles, A1 for correct shape (y approximately greater than −3.14).
[3 marks]
b.
gradient is 1.28 A1 N1
[1 mark]
c.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
