1) Find the increasing and decreasing intervals for each function. a)}"(x)=7+6xx2 b)y=x348x+5 c)g(x) =x':'18x2 d)f(x) =x3+10x9 2) Given the graph of f'(x), state the intervals of increase and decrease for the function f(x). Then sketch a possible graph off(x). 3) Sketch a continuous graph that satisfies the following set of conditions: f' (x) > 0 when x 3, f'(x) 6; decreasing when 0 8. HA at y = 0. VA at x = 3. y-intercept at (0,3). x-intercepts at (2,0) and (4, 0). -10 -9 -8 -7 -6 -5 -4 -3 -2 65) Find the local extrema for each function and classify them as local max or local min. a)f(x)=16x4 b)g(x)=x3+9x221x12 6) The speed, in km/h, of a certain car it seconds after passing a police radar location is given by the function v(t) = 3:2 24: + 88. a) Find the min speed of the car. b) The radar tracks the car on the interval 2