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Date November 2017 Marks available 3 Reference code 17N.1.sl.TZ0.3
Level SL only Paper 1 Time zone TZ0
Command term Sketch Question number 3 Adapted from N/A

Question

The following diagram shows the graph of a function f, with domain 2x4.

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

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 f1(2).

[1]
b.ii.

On the grid, sketch the graph of f1.

[3]
c.

Markscheme

correct range (do not accept 0x7)     A1     N1

eg[0, 7], 0y7

[1 mark]

a.

f(2)=3     A1     N1

[1 mark]

b.i.

f1(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, 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.

Syllabus sections

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