This question is more theory than anything else. I am given the graph attached: This graph shows four functions. 1.) Position function of a car. ([tex]f(x)[/tex]) 2.) Velocity of the car. ([tex]f'(x)[/tex]) 3.) Acceleration of the car. ([tex]f''(x)[/tex]) 4.) Jerk of the car. ([tex]f'''(x)[/tex]) I have to identify which graph is which (out of a, b, c, & d), and explain why this is so. However, I have no idea how to do this. I am assuming that the order is A, B, C, then D. However, this is based solely on observing the shapes of the graphs (since higher derivatives become more linear), but I do not know the theory to explain this. Any input is greatly appreciated. Thank you.