Problema Solution
A helicopter that is 2000 meters above the ground descends at a rate of 2 meters per second. The altitude of the helicopter after t seconds is given by h(t)=2000-2t.
1. Give the range of this function.
2. Give the domain of this function. (Show your calculations.)
Answer provided by our tutors
lets make a drawing of the function
click here to see the graph:
1. Give the range of this function.
The range is the set of all output values of a function.
The altitude of the function is always a positive number and from the graph we see that the range is the set: [0, 2000]
2. Give the domain of this function.
The domain is all the values that t is allowed to take on.
Since t is time, t is positive and because:
2000 - 2t >=0
by solving we find:
t <= 1000
click here to see the step by step solution of the inequality:
the domain is [0, 1000].