Write down the domain of the function.

Draw the line $y =  - 6$ on the axes.

Write down the number of solutions to $f(x) =  - 6$.

Find the range of values of $k$ for which $f(x) = k$ has no solution.

$(x \in \mathbb{R}),{\text{ }}x \ne 0$     (A2)     (C2)

Note:     Accept equivalent notation. Award (A1)(A0) for $y \ne 0$.

Award (A1) for a clear statement that demonstrates understanding of the meaning of domain. For example, ${\text{D}}:( - \infty ,{\text{ }}0) \cup (1,{\text{ }}\infty )$ should be awarded (A1)(A0).

[2 marks]

     (A1)     (C1)

Note:     The command term “Draw” states: “A ruler (straight edge) should be used for straight lines”; do not accept a freehand $y =  - 6$ line.

[1 mark]

2     (A1)(ft)     (C1)

Note:     Follow through from part (b)(i).

[1 mark]

$- 2 < k < 6$     (A1)(A1)     (C2)

Note:     Award (A1) for both end points correct and (A1) for correct strict inequalities.

Award at most (A1)(A0) if the stated variable is different from $k$ or $y$ for example $- 2 < x < 6$ is (A1)(A0).

[2 marks]