Classify the Function as Continuous or Discontinuous $f ( x ) = 6 ( x + 3 ) ^ { 2 }$

question 100

Multiple Choice

Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s) of
discontinuity.
- $f ( x ) = 6 ( x + 3 ) ^ { 2 }$

• A)continuous
• B)discontinuous at x = -3
• C) \(\text { discontinuous at } x = \frac { 1 } { 2 }\)
• D)discontinuous at x = 3

---

Definitions:

Hypothalamus

A small region at the base of the brain crucial for hormone production and regulation, influencing body temperature, hunger, mood, and more.

Motivated Behavior

Actions that are initiated or directed by a desire or need, highlighting the drive toward achieving a specific goal or satisfying a physiological or psychological requirement.

Cerebellum

The cerebellum is a major structure of the brain involved in motor control, coordination, precision, and accurate timing, playing a significant role in fine-tuning movements and balance.

Brain Stem

The most inferior part of the brain, connecting the cerebrum with the spinal cord and controlling fundamental life-sustaining functions like breathing and heart rate.