2.
4/4 points |
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SCalcET8 2.5.009.
The toll
T
charged for driving on a certain stretch of a toll road is
$3
except during rush hours (between 7 AM and 10 AM and between 4
PM and 7 PM) when the toll is
$5
.
(a) Sketch a graph of
T
as a function of the time
t
, measured in hours past midnight.
continuous from the right
continuous from the left
neither
continuous from the right
continuous from the left
neither

(b) Locate the discontinuities of
T
. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

Classify the discontinuities as removable, jump, or infinite.
Discuss the significance of the discontinuities of
T
to someone who uses the road.

3.
5/5 points |
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SCalcET8 2.5.011.
Use the definition of continuity and the properties of limits to show that the function is continuous at the given number
a
.
1.
1
5
4

4.
5/5 points |
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SCalcET8 2.5.502.XP.
Consider the following.
Find the left-hand and right-hand limits at the given value of
a
Explain why the function is discontinuous at the given number
a
.
.
1
.

Sketch the graph of the function.