Final answer:
The muscle extending from the sacrum to the greater trochanter of the femur is the gluteus maximus, which functions in hip extension and is innervated by the inferior gluteal nerve, corresponding to option C.
Step-by-step explanation:
The muscle that extends from the sacrum to the greater trochanter of the femur is the gluteus maximus. Its primary function is the extension of the hip, and it is innervated by the inferior gluteal nerve. Therefore, the correct option is:
C) Function: Hip extension, Innervation: Sciatic nerve
The gluteus maximus, which is the largest of the gluteal muscles, provides powerful extension of the thigh at the hip joint, also assisting in lateral rotation and abduction when the hip is extended. This muscle inserts into the gluteal tuberosity of the femur and the iliotibial tract, playing a key role in maintaining the upright posture and assisting in activities like climbing and rising from a sitting position.