Please also explain how to solve the problems in words.

14. Use the second derivative test to identify all maximum and minimum values of f(x) = x3 + x2 - 7x + 5 on the interval -4 S x $ 3. 15. Use the y-intercept, local extrema, intervals of concavity, and points of inflection to graph f(x) = 4x3 + 6x2 - 24x - 2. 16. Let p(x) = 3x5 - 5 3x - 1 AT2 + 1, 9 (20 ) = 2 - 21 - 3, 1(x) =1-2x -8 x2 - 1 ", and s(x) = 1 + 2x x - 2 a. Determine the asymptotes for each function, and identify their type (vertical, horizontal, or oblique). b. Graph y = r(x), showing clearly the asymptotes and the intercepts