30 Nov 2021
Problem 12
Page 156
Section 2.7: The Derivative As a Function
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
30 Nov 2021
Given information
The given graph of the population function is:
Step-by-step explanation
Step 1.
- The function is said to be increasing function in an interval if for that interval and the function is said to be decreasing function in an interval if for that interval.
- The function has inflection point where that is the function has inflection point where the slope of the tangent to the curve is 0
- The function is said to be concave upwards in an interval if for that interval and the function is said to be concave downwards in an interval if for that interval. In other words, the function is said to be concave upwards in an interval if is increasing in that interval and the function is said to be concave downwards in an interval if is decreasing in that interval.
- Draw the graph of the function by mentioning the intervals where the function is increasing and decreasing.
- Draw the graph of the function by mentioning the intervals where the function is concave upwards and concave downwards.
The graph of the function mentioning the intervals where function is increasing and decreasing is:
The graph of the function mentioning the intervals where function is concave upwards and concave downwards is: