Step 1: Free energy change (\(\Delta G\)) in reactions.
- A negative \(\Delta G\) signifies a spontaneous reaction that occurs without needing external energy.
- Spontaneous reactions proceed in the direction of decreasing free energy.
- Exergonic reactions, which release energy, are characterized by a negative \(\Delta G\).
- Option (B) is wrong; a negative \(\Delta G\) means the products have lower, not higher, free energy than the reactants.
- Option (C): Spontaneous reactions can have high activation energy, but it's not a requirement for a negative \(\Delta G\).
Step 2: Conclusion. Therefore, the correct options relate to spontaneous and exergonic reactions.
Final Answer: \[ \boxed{\text{(A) and (D) only}} \]