SOLUTION: Maxine and Ramon are in a hot air balloon. They drop a sand bag from the balloon. The height of the sandbag can be modelled by the function h(t)=-5t^2+80 where h(t) is the height o
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Question 1137661: Maxine and Ramon are in a hot air balloon. They drop a sand bag from the balloon. The height of the sandbag can be modelled by the function h(t)=-5t^2+80 where h(t) is the height of the sand bag above the ground, in metres, at time t seconds after it is dropped.
a) Determine the domain and range of the function.
b) Graph the function with any restrictions.
c) Graph h^-1 for the same domain and range.
d) Determine the equation for h^-1(t)
e) Is the graph of the inverse a function? Explain your answer.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
is when bag is dropped
m
----------------------
is height when bag hits ground
s
---------------------
(a)
The domain is sec to sec
The range is m to m
(b)
( with above restrictions )
c
(d)
The inverse is not a function, since there are
2 values for for every
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