The function f is graphed below. State the values that fulfill the following requirements. If there are no such values, type DNE. If there are multiple discrete values, separate them with commas. If there are a whole interval of values that fulfill the requirement, use interval notation to give all of the
The function f is graphed below. State the values that fulfill the following requirements. If there are no such values, type DNE. If there are multiple discrete values, separate them with commas. If there are a whole interval of values that fulfill the requirement, use interval notation to give all of the
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The function f is graphed below. State the values that fulfill the following requirements.
If there are no such values, type DNE. If there are multiple discrete values, separate them with commas. If
there are a whole interval of values that fulfill the requirement, use interval notation to give all of the
values in the interval.
Type oo for ∞ and -oo for -∞. Also type U for U.
4
2+
0
I
I
I
+
2
4 X
Transcribed Image Text:Where is f' = 0?
at x =
Where is f' undefined?
at x =
What are the critical values of f?
at x =
Where does f have relative minimums? What
are these relative minimum values?
the relative minimum is
occurs at x =
which
Where does f have relative maximums? What
are these relative maximum values?
the relative maximum is
occurs at x =
which
Where does f have absolute minimums? What are
these absolute minimum values?
the absolute minimum is
at x =
Where does f have absolute maximums? What are
these absolute maximums values?
the absolute maximum is
at x =
Where is f' > 0?
Vx in the interval
which occurs
Where is f' <0?
Vx in the interval
which occurs
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