Question 1.0.2 Suppose that f(x) is a function that is continuous on the interval [-3,3]. The graph of the derivative of f(x) on the interval [-3, 3] is given below. y = f'(x) 3 O O 1 -3 -2 -1 2 3 1. Given that f(-1) = 2, find the equation of the tangent line to y = f(x) at x = -1. 2. Given that f(1) - 9. Evaluate the following limits, if they exist. (a) lim f(x) (b) lim f'(x) (c) lim f'(x) (d) lim f'(x) *-1- 3. Does f'(1) exist? Give a brief (one-sentence) explanation