I am doing the question above and have some questions. The pdf of this the distribution is $\frac{1}{\theta}$ for $0\leq x\leq \theta$ and $0$ otherwise, correct? So the joint pdf will be $\frac{1}{\theta^n}$? So the likelihood function is $\frac{1}{\theta^n}$, but I am unsure how to sketch that since the graph changes for different n? Or am I supposed to use the log likelihood?
I am also given these hints:
But I don't understand why in the last hint it says we cannot have $\theta < 2$ . Any help? Thanks.