For each of the following functions, (a) Write the formulas for f, f; f". -(b) Draw a sketch by hand of the graphs for f, f; f" (on the same axis or different axes), label which is which. On the graph of f(x), mark critical points with "o", mark inflection points with "x". [ Recall that a critical point of fis where f' is 0 or undefined. An inflection point of fis where f" is 0 or undefined.] (c) For f(x) write down the x-value for: x-intercepts, critical points, inflection points (to two decimal places). Write the equation for any asymptotes. (d) Write down the intervals where f(x) is: positive, negative, increasing, decreasing, concave up, concave down 1. f(x) =-35.64 + 32.58x - 9.9X +x 2. f(x) = * +11x-20 X 3. f(x) = 3 24x +1 4. f(x) = 5. f(x) = Vx-3x+3 6. f(x) = x - 4x + 7cos(x) + 2 7. f ( x) = e+x