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
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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