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Date May 2018 Marks available 2 Reference code 18M.1.sl.TZ2.11
Level SL only Paper 1 Time zone TZ2
Command term Calculate Question number 11 Adapted from N/A

Question

Consider the graph of the function \(f\left( x \right) = \frac{3}{x} - 2,\,\,\,x \ne 0\).

Write down the equation of the vertical asymptote.

[2]
a.

Write down the equation of the horizontal asymptote.

[2]
b.

Calculate the value of x for which f(x) = 0 .

[2]
c.

Markscheme

x = 0     (A1)(A1) (C2)

Note: Award (A1) for = “a constant” (A1) for = 0. Award (A0)(A0) for an answer of “0”.

[2 marks]

a.

f(x) = −2   (y = −2)     (A1)(A1) (C2)

Note: Award (A1) for y = “a constant” (A1) for = −2. Award (A0)(A0) for an answer of “−2”.

[2 marks]

b.

\(\frac{3}{x} - 2 = 0\)     (M1)

Note: Award (M1) for equating f(x) to 0.

\(\left( {x = } \right)\frac{3}{2}\,\,\,\,\,\left( {1.5} \right)\)     (A1) (C2)

[2 marks]

c.

Examiners report

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

Syllabus sections

Topic 6 - Mathematical models » 6.5 » Functions of this type and their graphs.
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