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 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. X=-1.5 YA 5+ Where is f' = 0? at x = 1.2,-0.5 (-0.5,0) Where is f' undefined? at x = -1.5 -5+ What are the critical values of f? at x = 1.2,-0.5 ✓0 (1.2,1) Where does f have relative minimums? What are these relative minimum values? the relative minimum is 0 which occurs at x = -0.5 OB 5 ✓ O Where does f have absolute minimums? What are these absolute minimum values? the absolute minimum is 0 at x = -0.5 at x = 1.2 X Where does f have absolute maximums? What are these absolute maximums values? the absolute maximum is 1 X x which occur Where is f' > 0? Vx in the interval (0,1) x which occu Where does f have relative maximums? What Where is f' <0? are these relative maximum values? Vx in the interval the relative maximum is 1 (-∞,-1.5) u (-1.5,-0.5) u (1.2,00) X

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 24A
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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 -∞o. Also type U for U.
x=-1.5
YA
5-
(-0.5,00
Where is f' = 0?
at x = 1.2,-0.5 ✓ O
Where is f' undefined?
at x = -1.5
08
-5+
What are the critical values of f?
✓00
at x = 1.2,-0.5
(1.2,1)
Where does f have relative minimums? What
are these relative minimum values?
the relative minimum is 0
which occurs at x = -0.5
which occurs at x = 1.2
Where does f have absolute minimums? What are
these absolute minimum values?
the absolute minimum is 0
at x = -0.5
08
at x = 1.2
X
Where does f have absolute maximums? What are
these absolute maximums values?
the absolute maximum is 1
X
Where is f' > 0?
V in the interval (0,1)
x which occurs
Where does f have relative maximums? What Where is f' < 0 ?
are these relative maximum values?
Va in the interval
the relative maximum is 1
(-∞,-1.5) u (-1.5,-0.5) u (1.2,00)
Citation for image:
Strang, G., & Herman, E. (2016). Calculus Volume 1 (p. 420). Houston, TX: OpenStax.
x which occurs
X
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 -∞o. Also type U for U. x=-1.5 YA 5- (-0.5,00 Where is f' = 0? at x = 1.2,-0.5 ✓ O Where is f' undefined? at x = -1.5 08 -5+ What are the critical values of f? ✓00 at x = 1.2,-0.5 (1.2,1) Where does f have relative minimums? What are these relative minimum values? the relative minimum is 0 which occurs at x = -0.5 which occurs at x = 1.2 Where does f have absolute minimums? What are these absolute minimum values? the absolute minimum is 0 at x = -0.5 08 at x = 1.2 X Where does f have absolute maximums? What are these absolute maximums values? the absolute maximum is 1 X Where is f' > 0? V in the interval (0,1) x which occurs Where does f have relative maximums? What Where is f' < 0 ? are these relative maximum values? Va in the interval the relative maximum is 1 (-∞,-1.5) u (-1.5,-0.5) u (1.2,00) Citation for image: Strang, G., & Herman, E. (2016). Calculus Volume 1 (p. 420). Houston, TX: OpenStax. x which occurs X
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