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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.

N17/5/MATME/SP1/ENG/TZ0/03

The points ( - 2,{\text{ }}0) and (4,{\text{ }}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 \leqslant x \leqslant 7)     A1     N1

eg\,\,\,\,\,[0,{\text{ }}7],{\text{ }}0 \leqslant y \leqslant 7

[1 mark]

a.

f(2) = 3     A1     N1

[1 mark]

b.i.

{f^{ - 1}}(2) = 0     A1     N1

[1 mark]

b.ii.

N17/5/MATME/SP1/ENG/TZ0/03.c/M     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]

c.

Examiners report

[N/A]
a.
[N/A]
b.i.
[N/A]
b.ii.
[N/A]
c.

Syllabus sections

Topic 2 - Functions and equations » 2.2 » The graph of a function; its equation y = f\left( x \right) .
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