16 Dec 2021
Problem 20
Page 163
Section 2.8: What Does f' say About f ?
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
16 Dec 2021
Given information
Provided conditions are
for all , vertical asymptote ,
if or , if
Step-by-step explanation
Step 1.
Take the help of provided conditions and write a function that represents the provided conditions.
Since, the function has vertical asymptote ,
The function should contain in the denominator.
But, the derivative of a function is always greater than zero, hence, , should lie in the denominator.
The function will be concave upward from and will be concave downwards between .
Hence, the following function satisfies the given conditions.