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Date May 2016 Marks available 5 Reference code 16M.1.hl.TZ2.2
Level HL only Paper 1 Time zone TZ2
Command term Indicate, Sketch, and State Question number 2 Adapted from N/A

Question

The function \(f\)  is defined as \(f(x) = \frac{{3x + 2}}{{x + 1}},{\text{ }}x \in \mathbb{R},{\text{ }}x \ne  - 1\).

Sketch the graph of \(y = f(x)\), clearly indicating and stating the equations of any asymptotes and the coordinates of any axes intercepts.

Markscheme

M16/5/MATHL/HP1/ENG/TZ2/02/M     A1A1A1A1A1

 

Note:     Award A1 for correct shape, A1 for \(x =  - 1\) clearly stated and asymptote shown, A1 for \(y = 3\) clearly stated and asymptote shown, A1 for \(\left( { - \frac{2}{3},{\text{ }}0} \right)\) and A1 for \((0,{\text{ }}2)\).

[5 marks]

Examiners report

Another standard question. On this occasion, specific coordinates were asked for, so some otherwise good candidates missed out on a couple of marks which they would have gained through greater care.

Syllabus sections

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