Date | November 2017 | Marks available | 1 | Reference code | 17N.1.sl.TZ0.3 |
Level | SL only | Paper | 1 | Time zone | TZ0 |
Command term | Write down | Question number | 3 | Adapted from | N/A |
Question
The following diagram shows the graph of a function f, with domain −2⩽.
The points ( - 2,{\text{ }}0) and (4,{\text{ }}7) lie on the graph of f.
Write down the range of f.
Write down f(2);
Write down {f^{ - 1}}(2).
On the grid, sketch the graph of {f^{ - 1}}.
Markscheme
correct range (do not accept 0 \leqslant x \leqslant 7) A1 N1
eg\,\,\,\,\,[0,{\text{ }}7],{\text{ }}0 \leqslant y \leqslant 7
[1 mark]
f(2) = 3 A1 N1
[1 mark]
{f^{ - 1}}(2) = 0 A1 N1
[1 mark]
A1A1A1 N3
Notes: Award A1 for both end points within circles,
A1 for images of (2,{\text{ }}3) and (0,{\text{ }}2) within circles,
A1 for approximately correct reflection in y = x, concave up then concave down shape (do not accept line segments).
[3 marks]