Find X* on [-4, 4] Such That F(x*) Equals the Average

question 161

Essay

Find x* on [-4, 4] such that f(x*) equals the average value of f(x) = (x + 4)² over [-4, 4]. Approximate value to three decimal places.

---

Definitions:

Unexpected Detours

Situations or incidents that cause one to deviate from a planned or expected route or course of action.

Liable

Legally responsible for something, especially in the context of financial or legal obligations.

Bailment

The transfer of possession and control of personal property to another with the intent that the same property will be returned later.

Bailee

The person to whom personal property is transferred under a contract of bailment.