What a Function Is, and How Inputs and Outputs Vary

The graph of the function $s$ is shown for $0\le x\le 6$. The labeled points are $J$, $K$, $L$, $M$, and $N$. The graph has a local minimum at $K$ and a local maximum at $M$, and $L(3,0)$ is the only point where the graph of $s$ changes concavity. On which of the following intervals is $s(x)<0$ and $s$ increasing?