1. A particle moves along a straight line. The graph of the particle's position x(t) at time t is shown below over the interval [0, 10]. The function has horizontal tangents at t = 1.7 and t = 6.9, and a point of inflection at t = 4.3. Determine the values of t where the velocity of the particle is increasing. Justify your answers. x(t) 2 -2 N 10