| Date | May 2017 | Marks available | 2 | Reference code | 17M.2.sl.TZ2.3 |
| Level | SL only | Paper | 2 | Time zone | TZ2 |
| Command term | Write down | Question number | 3 | Adapted from | N/A |
Question
The following diagram shows the graph of a function y=f(x), for - 6 \leqslant x \leqslant - 2.
The points ( - 6,{\text{ }}6) and ( - 2,{\text{ }}6) lie on the graph of f. There is a minimum point at ( - 4,{\text{ }}0).
Let g(x) = f(x - 5).
Write down the range of f.
[2]
a.
On the grid above, sketch the graph of g.
[2]
b.
Write down the domain of g.
[2]
c.
Markscheme
correct interval A2 N2
eg\,\,\,\,\,0 \leqslant y \leqslant 6,{\text{ }}[0,{\text{ }}6], from 0 to 6
[2 marks]
a.
M1A1 N2
Note: Award M1 for a horizontal shift of the whole shape, 5 units to the left or right and A1 for the correct graph.
[2 marks]
b.
correct interval A2 N2
eg\,\,\,\,\, - 1 \leqslant x \leqslant 3,{\text{ }}[ - 1,{\text{ }}3], from - 1 to 3
[2 marks]
c.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
