Suppose that for a given function $\mathrm{f}$ that has three roots $\mathrm{r_1}<\mathrm{r_2}<\mathrm{r_3}$ in an interval $\mathrm{[a,b]}$. Which one of the roots would be determined if the bissection method is applied to the interval [a,b]?
I can't find any particular pattern when I think of a function with these particular restraints. Is there something to be noticed?