Consider the Function $$y = \sin \frac { x } { 4 } - 5$$

question 13

Multiple Choice

Consider the function $$y = \sin \frac { x } { 4 } - 5$$ on the interval $$[ 0,8 \pi ]$$ . Specify the intervals in which the function is increasing.

• A) \[( 0,2 \pi )\]
• B) \[( 0,2 \pi ) , ( 6 \pi , 8 \pi )\]
• C) \[( 6 \pi , 8 \pi )\]
• D) \[( 2 \pi , 6 \pi ) , ( 8 \pi , 9 \pi )\]
• E) \[( 0,8 \pi )\]

---

Definitions:

Productive

Being able to generate, create, or enhance goods, services, or ideas effectively and efficiently.

Ergonomics

The study of designing equipment, devices, and processes that fit the human body and its cognitive abilities, aiming to enhance efficiency and comfort.

Carpal Tunnel Syndrome

A medical condition caused by the compression of the median nerve as it travels through the wrist, often associated with repetitive tasks like typing.

Repetitive Strain Injuries

Repetitive Strain Injuries (RSIs) are musculoskeletal and nervous system injuries caused by repetitive tasks, forceful exertions, vibrations, mechanical compression, or sustained or awkward positions.