Activity 2: Determine the absolute extrema of the function f(x) = x - 12x on [0, 4]. %3D Show complete solution using the four steps. Step 1. Determine if the polynomial is continuous. Step 2. Find the first derivative and find the critical points. Step 3. Evaluate the function at the critical points and the endpoints of the interval. Note only critical value that lie in the given interval. Step 4. Determine the maximum point (highest value of f(x) and the minimum point (lowest value of f(x), if there is any.

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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Activity 2: Determine the absolute extrema of the function f(x) x - 12x on [0, 4].
Show complete solution using the four steps.
Step 1. Determine if the polynomial is continuous.
Step 2. Find the first derivative and find the critical points.
Step 3. Evaluate the function at the critical points and the endpoints of the interval.
%3D
Note only critical value that lie in the given interval.
Step 4. Determine the maximum point (highest value of f(x) and the minimum point
(lowest value of f(x), if there is any.
Transcribed Image Text:Activity 2: Determine the absolute extrema of the function f(x) x - 12x on [0, 4]. Show complete solution using the four steps. Step 1. Determine if the polynomial is continuous. Step 2. Find the first derivative and find the critical points. Step 3. Evaluate the function at the critical points and the endpoints of the interval. %3D Note only critical value that lie in the given interval. Step 4. Determine the maximum point (highest value of f(x) and the minimum point (lowest value of f(x), if there is any.
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