Find All Points of Inflection, If Any Exist, of the Graph

question 144

Multiple Choice

Find all points of inflection, if any exist, of the graph of the function $f ( x ) = x \sqrt { x + 3 }$ . Round your answers to two decimal places.

• A) \(( 6,18 )\)
• B) \(( 1,2 ) , ( 3,7.35 )\)
• C) \(( 1,2 ) , ( 2,4.47 )\)
• D) \(( 3,7.35 )\)
• E) no points of inflection

---

Definitions:

Pons

A part of the brainstem that links the medulla oblongata and the thalamus, playing a crucial role in controlling breathing, communication between different parts of the brain, and sensations such as hearing.

Cerebral Cortex

The outer layer of the cerebrum, playing a key role in memory, attention, perception, cognition, awareness, and language.

Pineal Gland

A small endocrine gland in the brain that produces melatonin, a hormone that regulates sleep-wake cycles and seasonal biological rhythms.

Frontal Lobes

Regions of the brain located at the front of each cerebral hemisphere, involved in decision making, problem-solving, control of purposeful behaviors, consciousness, and emotions.