Date | May 2008 | Marks available | 2 | Reference code | 08M.1.sl.TZ2.2 |
Level | SL only | Paper | 1 | Time zone | TZ2 |
Command term | Find | Question number | 2 | Adapted from | N/A |
Question
The following diagram shows part of the graph of f , where \(f(x) = {x^2} - x - 2\) .
Find both x-intercepts.
Find the x-coordinate of the vertex.
Markscheme
evidence of attempting to solve \(f(x) = 0\) (M1)
evidence of correct working A1
e.g. \((x + 1)(x - 2)\) , \(\frac{{1 \pm \sqrt 9 }}{2}\)
intercepts are \(( - 1{\text{, }}0)\) and \((2{\text{, }}0)\) (accept \(x = - 1\) , \(x = 2\) ) A1A1 N1N1
[4 marks]
evidence of appropriate method (M1)
e.g. \({x_v} = \frac{{{x_1} + {x_2}}}{2}\) , \({x_v} = - \frac{b}{{2a}}\) , reference to symmetry
\({x_v} = 0.5\) A1 N2
[2 marks]
Examiners report
This question was consistently the best handled one on the entire paper.
This question was consistently the best handled one on the entire paper.