Question 30Let $f(x)=4x-x^2.$ Given $x_0,$ consider the sequence defined by $x_n=f(x_{n-1})$ for all $n\ge1.$ For how many real numbers $x_0$ will the sequence $x_0,$ $x_1,$ $x_2,$ $\ldots$ take on only a finite number of different values?$0$$1$ or $2$$3,$ $4,$ $5$ or $6$more than $6$ but finitely manyinfinitely many