1. For what values are f(x) = x2 - 5x -14 and g(x) = -2x3 - 9x2 - 12x both decreasing? [7MARKS] - First Der test 2. Give an example of a function that has an oblique asymptote but no vertical asymptote. [3MARKS] - build an equation 3. Let f(x) = 3x +9x-54 Determine the equations of all the asymptotes of f(x) and * + 7x+ 10 determine how the graph approaches each one. [10MARKS] 4. Let f(x) = ox -2 . What are the points of inflection? [5MARKS] Ly Second Der test 5. Let f '(x) = ax2 + bx + c. Determine the values for a, b, and c so that f(x) has a local maximum at x=3, a local minimum at x= -5, and f "(3)= -8. [6MARKS] 6. Use the algorithm for curve sketching to sketch the graph of ONE of the following: [10MARKS] x - 2 A - f(x )= 2_ 3x - 4 B - g(x)=2x3 + 15x2 + 24x +6