3.Carefully sketch the graph of a function f(x) that satisfies the following conditions: f(0) = -2 f'(0)=-1 f'(2) = 1 f'(3) = 0 f(-2)=0 f'(-2) = 0 4. Suppose y = f(x) is a function for which f(2) = 10 and f'(2) = -0.5 . (a) Write the full microscope equation for f and x = 2. (The full microscope equation is the equation that we would use to approximate f(2 + deltax). If you are unable to complete this part, use f(2 + deltax) is approximately 8 + 0.5 delta x for the remaining portions of this problem). (b) Use your microscope equation to estimate the following: i. f(2.1) ii. f(-1.8) (c) What do you think is probably a better estimate, f(2.1) or f(1.8)? Why