1. The problem statement, all variables and given/known data The figure below shows the force exerted on a particle that moves along the x-axis. Draw a graph of the particle's potential energy as a function of position from x=0 to x=1.1 . Let U be zero at x=0. 2. Relevant equations F=-dU/dx 3. The attempt at a solution I decided to divide the force graph into three separate graphs: From x=0 to x=.5: F(x)= 4x From x=.5 to x=1: F(x)= -4x + 4 From x=1 to x=1.1: F(x)= 0 I then integrated each equation, and multiplied them by -1, getting U(x)= -2x^2, U(x)= 2x^2 - 2 and U(x)= 0, respectively. When I try to graph these equations, only the first one and the last one, U(x)= -2x^2 - 2 and U(x)= 0, seem to give me the correct answer. Can someone help me figure out where I went wrong?