Current Score :
96 / 96
Due :
Monday, October 10 2016 11:59 PM PDT
hw05S2.56 (Homework)
JAE HYUN PARK
Math 124, section D, Fall 2016
Instructor: Dmitriy Drusvyatskiy
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Previous Answers
SCalcET7 2.5.003.MI.SA.
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for
the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
From the graph of
f
, state each
x
value at which
f
is discontinuous. For each
x
value, determine whether
f
is continuous from the right, or
from the left, or neither.
Part 1 of 7
To find the numbers for which
f
is discontinuous, we look for
x
values for which the function is not defined or the left and right limits do not
match.
Starting from the left and moving right, the first
x
value for which
f
(
x
) is discontinuous is
x
=
2
.
At this point,
f
(
x
) is not defined. Therefore, at this point
f
is which of the following.
continuous from the right
continuous from the left
neither
Part 2 of 7

Moving right, the next
x
value for which
f
(
x
) is discontinuous is
x
=
1
.
Part 3 of 7
At
x
= −1, the left and right limits do not match. Also, note that
f
(−1) is on the portion of the graph when approaching from the left.
Therefore, at this point
f
is which of the following.
Part 4 of 7
Moving further right, the next
x
value for which
f
(
x
) is discontinuous is
x
=
1
.
Part 5 of 7
At
x
= 1, the left and right limits do not match. Also, note that
f
(1) is on the portion of the graph when approaching from the right.
Therefore, at this point
f
is which of the following.
Part 6 of 7
Finally, when moving further right, the last
x
value for which
f
(
x
) is discontinuous is
x
=
2
.
Part 7 of 7
At this point, again the left and right limits do not match. Also, note that
f
(2) is on the portion of the graph when approaching from the
right. Therefore, at this point
f
is which of the following.