Airport parking The Hourly Parking Garage at BWI International Airport in Baltimore costs $2 per half hour during the first hour and $4 for each hour or part of an hour for more than 1 hour and up to 5 hours. If C = C ( t ) is the total charge for t hours in BWI’s Hourly Parking Garage, write a piecewise function that describes C ( t ) for t < 3 . Use C ( t ) to find the following limits, if they exist. (a) lim t → 0.5 − C ( t ) (b) lim t → 0.5 + C ( t ) (c) lim t → 0.5 C ( t ) (d) lim t → 2.5 C ( t )
Airport parking The Hourly Parking Garage at BWI International Airport in Baltimore costs $2 per half hour during the first hour and $4 for each hour or part of an hour for more than 1 hour and up to 5 hours. If C = C ( t ) is the total charge for t hours in BWI’s Hourly Parking Garage, write a piecewise function that describes C ( t ) for t < 3 . Use C ( t ) to find the following limits, if they exist. (a) lim t → 0.5 − C ( t ) (b) lim t → 0.5 + C ( t ) (c) lim t → 0.5 C ( t ) (d) lim t → 2.5 C ( t )
Solution Summary: The author calculates the value of the limit undersettto0.5-mathrmlimC(t)) using the function describing the total charge for
Airport parking The Hourly Parking Garage at BWI International Airport in Baltimore costs $2 per half hour during the first hour and $4 for each hour or part of an hour for more than 1 hour and up to 5 hours. If
C
=
C
(
t
)
is the total charge for t hours in BWI’s Hourly Parking Garage, write a piecewise function that describes
C
(
t
)
for
t
<
3
. Use
C
(
t
)
to find the following limits, if they exist.
(a)
lim
t
→
0.5
−
C
(
t
)
(b)
lim
t
→
0.5
+
C
(
t
)
(c)
lim
t
→
0.5
C
(
t
)
(d)
lim
t
→
2.5
C
(
t
)
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
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