The figure below shows a plot of the conservative force F in a unidimensional field. The representing the function corresponding to the potential energy (U) in the field is :

Answer & explanation
Correct answer: option 3
\(f(x) = - \frac{dU(x)}{dx}\)
\(\Rightarrow U(x) = - \int F(x) dx\)
Here : F(x) = - kx
... where k is a positive constant.