PROBLEM 1 ($1) Draw a graph of a function f (for which you do not need to give a specific formula) such that . limz-of(x) = 7, . f has a removable discontinuity at z = 0, . f has an infinite discontinuity at I = 3, . lim,-.. f(x) = -1, and . f has a jump discontinuity at r = -2. Try to find a piecewise-defined function that satisfies the above conditions. PROBLEM 2 ($1) Let a, b, and c be positive integers. Consider the function f(z)= Jart k when a b Which value(s) of k will make f continuous at r = h