16 Oct 2021
Problem 20b
Page 23
Section 1.1: Four Ways to Represent a Function
Chapter 1: Functions and Models
Textbook ExpertVerified Tutor
16 Oct 2021
Given information
An airplane takes off from an airport and lands an hour later at another airport, miles away.
If represents the time in minutes since the plane has left the terminal building, let be the horizontal distance traveled and be altitude of the plane.
Step-by-step explanation
Step 1.
It is given that denotes the altitude of the plane. As the speed of the airplane is slow during takeoff and landing time, the altitude of the airplane will be less during takeoff and landing when compared with the altitude during the middle of the journey.
Thus, the required rough sketch is:
From the above graph, we can observe that there is a variation in the altitude of the airplane during takeoff and landing time.