Use Rolle's Theorem to Show That F(x) = 2x³

question 304

Essay

Use Rolle's Theorem to show that f(x) = 2x³ + 2x - 6 does not have more than one real root.

---

Definitions:

Kidney

An organ in vertebrates that is essential for removing waste products from the blood and regulating blood pressure, electrolyte balance, and red blood cell production.

Acidity

A measure of the concentration of hydrogen ions in a solution, often determining the sourness or sharpness of taste.

Urine

A liquid by-product of metabolism in the bodies of many animals, including humans, expelled through the urethra.

Starvation

A severe deficiency in caloric energy, nutrient, and vitamin intake, leading to extreme suffering or even death.