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 ff, with domain −2⩽x⩽4.
The points (−2, 0) and (4, 7) lie on the graph of f.
Write down the range of f.
[1]
a.
Write down f(2);
[1]
b.i.
Write down f−1(2).
[1]
b.ii.
On the grid, sketch the graph of f−1.
[3]
c.
Markscheme
correct range (do not accept 0⩽x⩽7) A1 N1
eg[0, 7], 0⩽y⩽7
[1 mark]
a.
f(2)=3 A1 N1
[1 mark]
b.i.
f−1(2)=0 A1 N1
[1 mark]
b.ii.
A1A1A1 N3
Notes: Award A1 for both end points within circles,
A1 for images of (2, 3) and (0, 2) within circles,
A1 for approximately correct reflection in y=x, concave up then concave down shape (do not accept line segments).
[3 marks]
c.
Examiners report
[N/A]
a.
[N/A]
b.i.
[N/A]
b.ii.
[N/A]
c.