| 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 x = “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.
