Question 19 Which statement(s) is(are) true? □ Iff has an absolute maximum at ein [a, b). then f(c) is also a local maximum in (a, b). Iff is continuous on (-oo, oo), then f must have an absolute maximum and absolute minimum at some numbers in (-00,00). If f is differentiable on (2, 6), then there is a number c = (2,6) such that f'(c) = □ If f'(a) = 0, then f(x) has either local maximum or local minimum at a. f(6)-f(2) 4

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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Question 19
Which statement(s) is(are) true?
□ If f has an absolute maximum at e in [a, b]. then f(c) is also a local maximum in (a, bl.
□ If f is continuous on (-∞o, oo), then f must have an absolute maximum and absolute minimum at some numbers in (-∞0,00).
If f is differentiable on (2, 6), then there is a number c = (2,6) such that f' (c) =
=
If f'(a)= 0, then f(x) has either local maximum or local minimum at a.
f(6) - f(2)
4
Transcribed Image Text:Question 19 Which statement(s) is(are) true? □ If f has an absolute maximum at e in [a, b]. then f(c) is also a local maximum in (a, bl. □ If f is continuous on (-∞o, oo), then f must have an absolute maximum and absolute minimum at some numbers in (-∞0,00). If f is differentiable on (2, 6), then there is a number c = (2,6) such that f' (c) = = If f'(a)= 0, then f(x) has either local maximum or local minimum at a. f(6) - f(2) 4
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