#11Determine the conditions on parameter k such that the function f(x) = 2x +4 X2-K² will have critical points b.) Select a value for k that satisfies the constraint established in part a, and sketch the section of the curve that lies in the domain IxI≤k #13.) Determine the critical numbers and the intervals on which g(x)=(x-4)² is increasing OR or decreasing #14. Use the second derivative test to identify all maximum and minimum values of f(x) = x³ + ³x² - 7x +5 on the interval -4≤x≤3
#11Determine the conditions on parameter k such that the function f(x) = 2x +4 X2-K² will have critical points b.) Select a value for k that satisfies the constraint established in part a, and sketch the section of the curve that lies in the domain IxI≤k #13.) Determine the critical numbers and the intervals on which g(x)=(x-4)² is increasing OR or decreasing #14. Use the second derivative test to identify all maximum and minimum values of f(x) = x³ + ³x² - 7x +5 on the interval -4≤x≤3
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Transcribed Image Text:opg.216-219,
#1 - 4,8
#Determine the conditions on parameter k such that the function
2x +4
f(x) =
will have critical points
x2-k²
b) Select a value for k that satisfies the constraint established in
part a, and sketch the section of the curve that lies in the domain IxI≤k
#13.) Determine the critical numbers and the intervals on which g(x) = (x²-4)²
is increasing or decreasing
#14. Use the second derivative test to identify all maximum and minimum
of f(x) = x³ + x² - 7x +5
Values
on the interval - 4≤x≤3
opg 220,
#2.) a.) Determine the critical points of the function g(x)=2x4 -8x³ - x² + 6x
b) Classify each critical point in part a.
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