Let a(t) be the altitude in feet of a plane that climbs steadily from takeoff un
ID: 2893177 • Letter: L
Question
Let a(t) be the altitude in feet of a plane that climbs steadily from takeoff until it reaches its cruising altitude after 30 minutes. We don't have a formula for a, but extensive research has given us the following table of values. Is a(t) a one-to-one function on the given interval? How do you know? What does the function a^-1 measure in real terms? Your answer should be descriptive, similar to the way a(t) was described above We are interested in computing values of a^-1. Fill the following table for as many values of x as possible as you can (at least 10). What does x represent? What re the domain and range of a? What are the domain and range of a^-1 You are allowed to turn on electronic equipment after the place has reached 10,000 feet approximately when can you expect to turn on your laptop computer after taking off? Suppose we consider a(t) from the time of takeoff to the time of touchdown.Explanation / Answer
From the given question,
1. a(t) is a always on-to-one function as value of a is always increasing.All increasing functions are one-to-one functions.
2. a-1 describes value of t which depends on a.
t(a).Here time is a function of altitude.
3. here x represents altitude. a-1 represents time.
Domain of a is (0,10)
Range of a is (0,30000)
Domain of a-1 is (0,30000)
Range of a-1 is (0,10)
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