| Date | May 2018 | Marks available | 4 | Reference code | 18M.1.sl.TZ1.3 |
| Level | SL only | Paper | 1 | Time zone | TZ1 |
| Command term | Sketch | Question number | 3 | Adapted from | N/A |
Question
Consider a function f (x) , for −2 ≤ x ≤ 2 . The following diagram shows the graph of f.
Write down the value of f (0).
[1]
a.i.
Write down the value of f −1 (1).
[1]
a.ii.
Write down the range of f −1.
[1]
b.
On the grid above, sketch the graph of f −1.
[4]
c.
Markscheme
\(f\left( 0 \right) = - \frac{1}{2}\) A1 N1
[1 mark]
a.i.
f −1 (1) = 2 A1 N1
[1 mark]
a.ii.
−2 ≤ y ≤ 2, y∈ [−2, 2] (accept −2 ≤ x ≤ 2) A1 N1
[1 mark]
b.
A1A1A1A1 N4
Note: Award A1 for evidence of approximately correct reflection in y = x with correct curvature.
(y = x does not need to be explicitly seen)
Only if this mark is awarded, award marks as follows:
A1 for both correct invariant points in circles,
A1 for the three other points in circles,
A1 for correct domain.
[4 marks]
c.
Examiners report
[N/A]
a.i.
[N/A]
a.ii.
[N/A]
b.
[N/A]
c.
Syllabus sections
Topic 2 - Functions and equations » 2.2 » The graph of a function; its equation \(y = f\left( x \right)\) .
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