Verify That F(x) = X² + 8 Satisfies the Hypothesis

question 44

Essay

Verify that f(x) = x² + 8 satisfies the hypothesis of the Mean-Value Theorem on the interval [0, 4] and find all values of C that satisfy the conclusion of the theorem.

---

Definitions:

Youngest Unit

The most recent stratum or rock layer in a sequence of geological formations.

Dominant Type

signifies the most prevalent or influential species, form, or kind within a particular environment or context.

Cenozoic

The current geological era, beginning 66 million years ago and characterized by the dominance of mammals, birds, and flowering plants.

Mesozoic

An era of geological time from about 252 to 66 million years ago, known for the dominance of dinosaurs and the development of mammals and flowering plants.