Answer all, please

2. For each of the following, find all values of a for which f (x) = 0. 3x' - 2x a. f(x) = 70 b. f(x) = 2 + 3x2 - 9x + 2 c. f(x) = (x2 - 3)(x +4) 2 - 1 d. f(x) = Va - 3. Suppose that g' (a) = x2 - x - 6. Find the interval(s) where g() is increasing, and where g() is decreasing. 5. Use graphing technology to graph the function f(a) = a - 3x + 1. Use the graph to determine the intervals of increase and decrease of f (a). Verify your answer using algebraic methods. 6. Let f (a) = x+4 . Find the intervals over which the function is increasing and decreasing. x +7 7. Find the intervals on which the function f(t) = t - 10t + 9 is decreasing. 8. a. Find the largest value of A such that the function g(s) = $3 - 3s' - 24s + 1 is increasing on the interval (-5, A). 1 b. Find the largest value of A such that h(s) = (s - 9)4 is increasing for all s in the interval (-00, A). du 9. Suppose - = (x2+1)(x - 3)(x - 1)(x + 5). Find all intervals where u(x) is increasing. dx 10. Find the intervals on which the function f(@) = (@ - 9) 3 is increasing and the intervals on which it is decreasing.11. Sketch a graph of a differentiable function f(a) that has the following properties: o f'(-2) = f'(3) = 0 o f'(x) > 0 for -2 > 3 o f'(x)