Consider the function f(x) = 1.984x4 - 7.936x³ a. Locate the critical inputs on the interval [2.8, 5.09]. Show some work to support your answer. b. Determine the absolute maximum and absolute minimum values (this means y-coordinates) for f(x) on [-2.8, 5.09]. Round your answers to two decimal places. c. Is there a critical input which is neither a local maximum nor a local minimum? If yes, identify the input and explain why it is neither a local max nor a local min.

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) = 1.984x4 - 7.936x³
a. Locate the critical inputs on the interval [2.8, 5.09]. Show some work to
support your answer.
b. Determine the absolute maximum and absolute minimum values (this means
y-coordinates) for f(x) on [-2.8, 5.09]. Round your answers to two decimal
places.
c. Is there a critical input which is neither a local maximum nor a local minimum? If
yes, identify the input and explain why it is neither a local max nor a local min.
Transcribed Image Text:Consider the function f(x) = 1.984x4 - 7.936x³ a. Locate the critical inputs on the interval [2.8, 5.09]. Show some work to support your answer. b. Determine the absolute maximum and absolute minimum values (this means y-coordinates) for f(x) on [-2.8, 5.09]. Round your answers to two decimal places. c. Is there a critical input which is neither a local maximum nor a local minimum? If yes, identify the input and explain why it is neither a local max nor a local min.
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