17M.2.SL.TZ2.S_3

pestleMathematicsAASLPaper 217M· sl-2-2-functions-notation-domain-range-and-inverse-as-reflectionsource ↗

The following diagram shows the graph of a function $y = f(x)$ , for $- 6 \leqslant x \leqslant - 2$ .

The points $( - 6,{\text{ }}6)$ and $( - 2,{\text{ }}6)$ lie on the graph of $f$ . There is a minimum point at $( - 4,{\text{ }}0)$ .

Let $g(x) = f(x - 5)$ .

Write down the range of $f$ .

[2]

Write down the domain of $g$ .

[2]

Markscheme / solution

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

correct interval A2 N2

eg $\,\,\,\,\,$ $0 \leqslant y \leqslant 6,{\text{ }}[0,{\text{ }}6]$ , from 0 to 6

[2 marks]

correct interval A2 N2

eg $\,\,\,\,\,$ $- 1 \leqslant x \leqslant 3,{\text{ }}[ - 1,{\text{ }}3]$ , from $- 1$ to 3

[2 marks]

Examiners’ report

[N/A]