Write down the value of $f( - 3)$.

Write down the value of  ${f^{ - 1}}(1)$.

Find the domain of ${f^{ - 1}}$.

On the grid above, sketch the graph of ${f^{ - 1}}$.

$f( - 3) =  - 1$     A1     N1

[1 mark]

${f^{ - 1}}(1) = 0$   (accept $y = 0$)     A1     N1

[1 mark]

domain of ${f^{ - 1}}$ is range of \(f\)     (R1)

eg     ${\text{R}}f = {\text{D}}{f^{ - 1}}$

correct answer     A1     N2

eg     $- 3 \leqslant x \leqslant 3,{\text{ }}x \in [ - 3,{\text{ }}3]{\text{   (accept }} - 3 < x < 3,{\text{ }} - 3 \leqslant y \leqslant 3)$

[2 marks]

     A1A1     N2

Note: Graph must be approximately correct reflection in $y = x$.

     Only if the shape is approximately correct, award the following:

     A1 for x-intercept at $1$, and A1 for endpoints within circles.

[2 marks]