V8.2 is the value of a function y = f(x). Identify the function. Then approximate this value by using a linearization of the function at an appropriate value x=a in the domain of f to give a good estimate. Ideally, a is such that f (a) and f (a) can be computed exactly and are not approximations themselves.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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V8.2 is the value of a function y = f(x). Identify the function. Then approximate this value by using
a linearization of the function at an appropriate value x=a in the domain of f to give a good estimate.
Ideally, a is such that f (a) and f '(a) can be computed exactly and are not approximations themselves.
Let f(x) =x' -12x-1 on [-5,4]. Find the critical numbers for y = f(x), and show how you use
the Closed Interval Method to find the absolute maximum and minimum values of the function.
Transcribed Image Text:-3 V8.2 is the value of a function y = f(x). Identify the function. Then approximate this value by using a linearization of the function at an appropriate value x=a in the domain of f to give a good estimate. Ideally, a is such that f (a) and f '(a) can be computed exactly and are not approximations themselves. Let f(x) =x' -12x-1 on [-5,4]. Find the critical numbers for y = f(x), and show how you use the Closed Interval Method to find the absolute maximum and minimum values of the function.
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