1.Find the area of the region that lies below the graph of \(y = 3 - |x - 1|\)but above the -axis.
2.\(Let f be the piecewise function such that f(x) = \begin{cases} x^2 - 5x - 64 & \text{if } x \le 0, \\ x^2 - 6x + 10 & \text{if } x > 0. \end{cases} At how many points x does f(x)=2?\)
3.\(For an integer n, let [f(n) = \left\{ \begin{array}{cl} \frac{n}{2} & \text{if $n$ is even}, \\ 3n + 1 & \text{if n is odd}. \end{array} \right. Find f(f(f(f(12)))). \)
