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1. Find the critical numbers of the function f(x) (numbers must be separated by comma and space). 2. Find the absolute maximum and minimum values of f(x) on the interval [−1, 4]. The maximum is at x = its y The minimum is at x = = = x³ + x² 12x on the interval [−1, 4] its y = Exercise 2 [11 points]. The aim of this exercise (Questions 8-14) is to show that the equation x³ + 3x + 5 = 0 has exactly one root in the interval (−2, −1). 3. Consider the function f(x) = x³ + x − 5 on the interval [1, 2]. What is the condition that required from f(x) in the IVT? 4. For our case, the IVT requires a number N = 5. Fill in the fields (boxes) to make the statements correct. ƒ <N< f 6. Make your conclusion on the existence of a root. Start your conclusion using the words "By the"