For the Function ​ (A)Find the Critical Numbers of F

question 90

Multiple Choice

For the function ​ (a) Find the critical numbers of f (if any) ;
(b) Find the open intervals where the function is increasing or decreasing; and
(c) Apply the First Derivative Test to identify all relative extrema.
​

• A) (a) (b) increasing: ; decreasing: (c) relative max: ; relative min: ​
• B) (a) (b) decreasing: ; increasing: (c) relative min: ; relative max: ​
• C) (a) (b) increasing: ; decreasing: (c) relative max: ; relative min: ​
• D) (a) (b) decreasing: ; increasing: (c) relative min: ; relative max: ​
• E) (a) (b)increasing: ; decreasing: (c)relative max: ; relative min: no relative min. ​

---

Definitions:

Kinetic Energy

Kinetic energy is the energy that an object possesses due to its motion, calculated as one-half the mass of the object times the velocity squared.

High Versus Low

A comparative context often used to differentiate between two extremes, such as temperature, pressure, elevation, or density.

Total Amount

The complete quantity or sum of all the parts or elements present in a given content or composition.

Growth Time

The period required for an organism, cell, or organ to grow to its full size or for a population to double.