Curve Sketching Using Derivative Assignment 1) Find the local extrema, inflection points, intervals where the function is increasing and decreasing, and intervals of concavity. Then, use this information to sketch the function. State interval answers using interval notation. a) f ( x ) = V x ( x - 5 ) 2 4 b) g(x) =2sinx + cos2x, [0,2x ] 2) Sketch a graph of a continuous function satisfying the given conditions: f (0) = 4, f(2) = 2,1(5)=6, f'(0) =f'(2)=0, f'(x)> 0 when x - 1 > 1, f'(x) Owhen x -2 5