Step 1: Understanding the Relationship Between \( A_f \) and \( R \).
- (A) \( A_f \) is zero when \( R = 1 \): At \( R = 1 \), the soil is normally consolidated, and the value of the pore pressure parameter \( A_f \) is typically zero.
- (B) \( A_f \) is negative when \( R>4 \): This statement is incorrect. \( A_f \) is typically not negative when \( R>4 \).
- (C) \( A_f \) increases as \( R \) decreases: As the over-consolidation ratio \( R \) decreases, the pore pressure parameter \( A_f \) increases.
- (D) \( A_f \) decreases as \( R \) decreases: This statement is incorrect as \( A_f \) increases as \( R \) decreases.
Step 2: Conclusion.
Thus, the correct answer is (A) and (C) only, making option (1) the correct answer.
Final Answer:
\[
\boxed{1. \, (A) \, \text{and} \, (C)}
\]