- #1

dekoi

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.

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.