Determine If the Given Function Can Be Extended to a Continuous

question 75

Multiple Choice

Determine if the given function can be extended to a continuous function at x = 0. If so, approximate the extended
function's value at x = 0 (rounded to four decimal places if necessary) . If not, determine whether the function can be
continuously extended from the left or from the right and provide the values of the extended functions at x = 0.
Otherwise write "no continuous extension."
- $$f ( x ) = \frac { \cos 2 x } { | 2 x | }$$

• A) f(0) = 2 only from the left
• B) No continuous extension
• C) f(0) = 2
• D) f(0) = 2 only from the right

---

Definitions:

Dietary Nutrients

Substances derived from food that are essential for health and growth, including vitamins, minerals, carbohydrates, proteins, and fats.

ATP

Adenosine triphosphate, a universal energy carrier molecule used by cells to store and transfer energy.

Oxidative Phosphorylation

A process occurring in mitochondria that uses oxygen and high-energy electrons to produce ATP and water.

Krebs Cycle

A series of chemical reactions used by all aerobic organisms to generate energy through the oxidation of acetate derived from carbohydrates, fats, and proteins into carbon dioxide and water.