4 A curve, \(C\), has equation \(y = x ^ { 2 } - 6 x + k\), where \(k\) is a constant. The equation \(x ^ { 2 } - 6 x + k = 0\) has two distinct positive roots.
4
- Sketch \(C\) on the axes below.
\includegraphics[max width=\textwidth, alt={}, center]{5e475c96-6bbb-44fb-a411-706dac20e2d6-04_1013_1016_534_513}
4 - Find the range of possible values for \(k\).
Fully justify your answer.
\begin{center}
\begin{tabular}{ | l | }
\hline