### Step-by-Step Solution:
1. **Understanding Paired Appendages**: Vertebrates possess paired appendages, which include limbs such as legs and arms. These appendages are crucial for various functions.
2. **Grasping and Manipulation**: One of the primary functions of paired appendages in vertebrates, particularly in mammals and birds, is for grasping and manipulation. For example, humans use their hands to grasp objects, while birds use their claws.
3. **Running and Flying**: Paired appendages also play a vital role in locomotion. Birds have modified their wings for flying, which allows them to maintain balance. Similarly, terrestrial vertebrates like apes and other mammals use their paired limbs for running.
4. **Swimming and Walking**: In aquatic environments, paired appendages are adapted for swimming, as seen in ducks with their webbed feet. Additionally, all vertebrates utilize their paired appendages to walk, which is essential for movement on land.
5. **Conclusion**: Given the various functions of paired appendages—grasping, running, flying, swimming, and walking—it is evident that they serve multiple purposes in vertebrates. Therefore, the answer is that vertebrates use their paired appendages for all of the above functions.
### Final Answer:
Vertebrates use their paired appendages for grasping and manipulation, running and flying, swimming and walking. Thus, the correct option is **all of the above**.
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