Consider the function f(x) = + 6 on the interval [-2, 0]. Find f'(x). f'(x) = Find the critical value of f(x) on the interval [-2, 0]. Evaluate the function at the critical value. (x, y) = Evaluate the function at the endpoints of the given interval.

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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Consider the function f(x) = x
+ X
- x + 6 on the interval [-2, 0].
Find f'(x).
f'(x) =
Find the critical value of f(x) on the interval [-2, 0].
X =
Evaluate the function at the critical value.
(x, y) =
)-
Evaluate the function at the endpoints of the given interval.
(х, у) %3D
(smaller x-value)
(x, y) =
(larger x-value)
Find the absolute maxima and minima for f(x) on the interval [-2, 0].
absolute maximum
(х, у) %3
absolute minimum
(х, у)
Transcribed Image Text:Consider the function f(x) = x + X - x + 6 on the interval [-2, 0]. Find f'(x). f'(x) = Find the critical value of f(x) on the interval [-2, 0]. X = Evaluate the function at the critical value. (x, y) = )- Evaluate the function at the endpoints of the given interval. (х, у) %3D (smaller x-value) (x, y) = (larger x-value) Find the absolute maxima and minima for f(x) on the interval [-2, 0]. absolute maximum (х, у) %3 absolute minimum (х, у)
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