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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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Can you please answer this question
1
(9 pts) Consider f(x) =
x² + 6x - 7
Find the absolute maximum and minimum of f(x) on
the interval (-7, 1).
Intermediate work
f'(x) =
-(2x+6)/((x^2+6x-7)^2)
Critical points of in (-7,1).
x =
Candidates for absolute maximum and absolute
minimum.
(x, y) =
Behaviour at the boundaries.
lim f(x) =
x→−7+
lim f(x) =
x→1-
Conclusion
The absolute minimum value is
The absolute maximum value is
when x =
when I =
Transcribed Image Text:1 (9 pts) Consider f(x) = x² + 6x - 7 Find the absolute maximum and minimum of f(x) on the interval (-7, 1). Intermediate work f'(x) = -(2x+6)/((x^2+6x-7)^2) Critical points of in (-7,1). x = Candidates for absolute maximum and absolute minimum. (x, y) = Behaviour at the boundaries. lim f(x) = x→−7+ lim f(x) = x→1- Conclusion The absolute minimum value is The absolute maximum value is when x = when I =
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