Find the Intervals on Which the Function Is Continuous $$y = \frac { 5 } { | x | + 2 } - \frac { x ^ { 2 } } { 7 }$$

question 22

Multiple Choice

Find the intervals on which the function is continuous.
- $$y = \frac { 5 } { | x | + 2 } - \frac { x ^ { 2 } } { 7 }$$

• A) discontinuous only when \(x = - 2\)
• B) continuous everywhere
• C) discontinuous only when \(x = - 7\) or \(x = - 2\)
• D) discontinuous only when \(x = - 9\)

---

Definitions:

Thalamus

A vital brain structure acting as a relay station, channeling sensory and motor signals to and from the cerebral cortex.

Limbic System

A complex system of nerves and networks in the brain, involved with instinct and mood. It controls basic emotions and drives.

Hippocampus

A neural center that is located in the limbic system; helps process explicit memories for storage.

Cerebellum

The “little brain” at the rear of the brainstem; functions include some nonverbal learning, processing sensory input, and coordinating movement output and balance.