purplefox381Lv1
21 Dec 2021
Problem 45
Page 167
Section: Review Exercises
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
21 Dec 2021
Given information
Given that the graph of a following function as required conditions:
Step-by-step explanation
Step 1.
The graph of intersects the point .
The slope of the tangent line to is 0 at
As increases without bound, approaches 0 . In other words, has a horizontal asymptote of
As approaches 6 from either side, decreases without bound. In other words, has a vertical asymptote of
The first derivative of is negative on the given intervals. Therefore, is decreasing on those intervals.