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Date	November 2015	Marks available	2	Reference code	15N.1.sl.TZ0.4
Level	SL only	Paper	1	Time zone	TZ0
Command term	Find	Question number	4	Adapted from	N/A

Question

Let $f(x) = 3\sin (\pi x)$ .

Write down the amplitude of $f$ .

[1]

Find the period of $f$ .

[2]

On the following grid, sketch the graph of $y = f(x)$ , for $0 \le x \le 3$ .

[4]

Markscheme

amplitude is 3 A1 N1

valid approach (M1)

eg $\;\;\;{\text{period}} = \frac{{2\pi }}{\pi },{\text{ }}\frac{{360}}{\pi }$

period is 2 A1 N2

A1A1A1 N4

Note: Award A1 for sine curve starting at (0, 0) and correct period.

Only if this A1 is awarded, award the following for points in circles:

A1 for correct x-intercepts;

A1 for correct max and min points;

A1 for correct domain.

Examiners report

[N/A]

Syllabus sections

Topic 3 - Circular functions and trigonometry » 3.4 » The circular functions

$\sin x$ ,

$\cos x$ and

$\tan x$ : their domains and ranges; amplitude, their periodic nature; and their graphs.

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