Exercise 1. Determine where the function 9 defined below is continuous and discontinuous. Use limits to classify each of the points of discontinuity. $2C6 9\") = W Exercise 2. Use the Intermediate Value Theorem to show that the following equation has at least one real solution. 1 F 3\"\": Exercise 3. Let f be a function that satisfies all of the following conditions f(0) = 4 {313100 f(x) = 5 and 3:11:30 f(a:) = 5 $12}; f($) = 00 and $122+ f(:1:) = 00 millIfs f(x) = 00 and 1311; f(ac) = 00 a) Sketch a graph of such a function. b) Find an formula for such a function. Explain your reasoning. Exercise 4. Find the horizontal and vertical asymptotes of the function below using limits. Vac4+2 9(97) = 4_$2