Identify the Function's Local and Absolute Extreme Values, If Any $$f ( r ) = ( r - 10 ) ^ { 3 }$$

question 31

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( r ) = ( r - 10 ) ^ { 3 }$$

• A) local minimum: x = 0
• B) no local extrema
• C) local minimum: x = 10
• D) local minimum: x = 0; local maximum: x = 10

---

Definitions:

Trophoblast

The outer layer of cells of a blastocyst, which provides nutrients to the embryo and develops into a large part of the placenta.

HCG

Human chorionic gonadotropin (HCG) is a hormone produced by the placenta after implantation, often used in pregnancy tests.

Corpus Luteum

A temporary endocrine structure in female ovaries that is involved in the production of progesterone, essential for maintaining pregnancy.

Endometrium

The inner lining of the uterus, which thickens during the menstrual cycle in preparation for potential implantation of an embryo.