18M.1.SL.TZ2.T_11

pestleMathematicsAISLPaper 118M· sl-2-5-modelling-functionssource ↗

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]

Write down the equation of the horizontal asymptote.

[2]

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

[2]

Markscheme / solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

x = 0 (A1)(A1) (C2)

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

[2 marks]

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]

$\frac{3}{x} - 2 = 0$ (M1)

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

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

[2 marks]

Examiners’ report

[N/A]