function f(x) has the following properties: 1) f(x) as critical points at x=4 and x=7, 2) f'(x)is negative to the left of 4 and negative to the right of 7 3)f′(x) is positive between 4 and 7, then which of the following is true? f(x) attains a minimum at x=7 but f(x) has neither a maximum nor a minimum at x=4. f(x) attains a local maximum at x=4 and a local minimum at x=7. f(x) attains a local minimum at x=4 and a local maximum at x=7. None of the given statements about maxima and minima about f(x) are correct.
function f(x) has the following properties: 1) f(x) as critical points at x=4 and x=7, 2) f'(x)is negative to the left of 4 and negative to the right of 7 3)f′(x) is positive between 4 and 7, then which of the following is true? f(x) attains a minimum at x=7 but f(x) has neither a maximum nor a minimum at x=4. f(x) attains a local maximum at x=4 and a local minimum at x=7. f(x) attains a local minimum at x=4 and a local maximum at x=7. None of the given statements about maxima and minima about f(x) are correct.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If a function f(x) has the following properties:
1) f(x) as critical points at x=4 and x=7,
2) f'(x)is negative to the left of 4 and negative to the right of 7
3)f′(x) is positive between 4 and 7,
then which of the following is true?
f(x) attains a minimum at x=7 but f(x) has neither a maximum nor a minimum at x=4.
f(x) attains a local maximum at x=4 and a local minimum at x=7.
f(x) attains a local minimum at x=4 and a local maximum at x=7.
None of the given statements about maxima and minima about f(x) are correct.
f(x) attains a minimum at x=4, but f(x) has neither a maximum nor a minimum at x=7.
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