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Student Name:
Sections 2.5 (Due: Tuesday, 09/06)
Description
:
This homework emphasizes the graphical and mathematical
definitions of continuity. It is important to know when the function is
discontinuous and how to apply the Intermediate Value Theorem.
Show all work
to get full credit.
1) If
f
is continuous on (-
,
), what can you with certainty say about its graph?
(Select all that apply.)
The graph of
f
has a hole.
The graph of
f
has a jump.
The graph of
f
has a vertical asymptote.
None of these.
2) From the graph of
f
, state the numbers at which
f
is discontinuous and
determine whether
f
is continuous from the right, or from the left, or neither.
x
= (smallest value)
continuous from the right
continuous from the left
neither
x
=
continuous from the right
continuous from the left
neither
x
=
continuous from the right
continuous from the left
neither
x
= (largest value)
continuous from the right
continuous from the left
neither

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3) From the graph of
g
, state the intervals on which

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