Find the Power Function That the Graph of F Resembles $| \mathbf { x } |$

question 253

Multiple Choice

Find the power function that the graph of f resembles for large values of $| \mathbf { x } |$
- $$f ( x ) = 3 x - x ^ { 3 }$$

• A) \(y = x ^ { 2 }\)
• B) \(y = x ^ { 4 }\)
• C) \(y = x ^ { 3 }\)
• D) \(y = - x ^ { 3 }\)

---

Definitions:

Antagonistic Muscles

Antagonistic muscles are pairs of muscles that work against each other to move a joint, with one muscle contracting while the other relaxes.

Golgi Tendon Reflex

A protective reflex that prevents muscle damage during excessive force generation by causing muscle relaxation.

Brachial Plexus

A network of nerves that originates from the spinal cord in the neck and supplies the arms and hands with sensory and motor function.

Muscles of Arm

Groups of tissues that contract to facilitate movement of the arm and hand, including flexion, extension, abduction, and adduction.