**Core Concept**
The cervical part of the facial artery is a branch of the external carotid artery, providing blood supply to the face. Its branches play a crucial role in supplying blood to the facial structures, including the muscles of facial expression, the nasal cavity, and the oral cavity.

**Why the Correct Answer is Right**
The correct branches of the cervical part of the facial artery include the inferior and superior labial branches, the lateral nasal branches, and the angular artery. The inferior labial branch supplies the lower lip, while the superior labial branch supplies the upper lip. The lateral nasal branches supply the nasal vestibule, and the angular artery supplies the medial canthus. These branches arise from the cervical part of the facial artery and play a vital role in maintaining the blood supply to the facial structures.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect as there is no branch called "temporal branch" of the cervical part of the facial artery. The temporal branches of the facial nerve arise from the facial nerve, not the facial artery.
**Option B:** This option is incorrect as there is no branch called "masseteric branch" of the cervical part of the facial artery. The masseteric artery is a branch of the maxillary artery, not the facial artery.
**Option C:** This option is incorrect as there is no branch called "occipital branch" of the cervical part of the facial artery. The occipital artery is a branch of the external carotid artery, but it arises from the posterior part of the external carotid artery, not the cervical part of the facial artery.
**Option D:** This option is incorrect as there is no branch called "mental branch" of the cervical part of the facial artery. The mental artery is a branch of the inferior alveolar artery, which is a branch of the maxillary artery, not the facial artery.

**Clinical Pearl / High-Yield Fact**
It's essential to remember that the facial artery has two main parts: the cervical part and the facial part. The cervical part gives off its branches to supply the face, while the facial part gives off its branches to supply the muscles of facial expression.

**Correct Answer: D. Mental branch**