Name:________________________ Date:________________________ AP Calculus BC Class Activity 3b: Extrema Part 2 A point moves along the line so that its position can be found by the function Find the velocity and speed functions. Find and verify where the particle changes direction. At what position is the point furthest to the left? For what interval(s) is the point moving to the left? Given the graph below for , sketch a possible graph for : Given the graph below for , sketch a possible graph for : Given the graph below for , sketch a possible graph for : Given the following graph for : Find the local maximums and local minimums for . Find where the function is increasing and decreasing.