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f(x) = x³ − 15x² +27x2. F

f(x) = x³ − 15x² +27x2. F

Calculus: Early Transcendentals
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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**Problem Statement:** Let \( f(x) = x^3 - 15x^2 + 27x - 2 \). Find the open intervals on which \( f \) is increasing (decreasing). Then determine the \( x \)-coordinates of all relative maxima (minima). 1. \( f \) is increasing on the intervals: \((1, 9)\) 2. \( f \) is decreasing on the intervals: 3. The relative maxima of \( f \) occur at \( x = \) \(1\) 4. The relative minima of \( f \) occur at \( x = \) \(-\text{INF}\) **Notes:** In the first two, your answer should either be a single interval, such as \((0,1)\), a comma-separated list of intervals, such as \((- \infty, 2), (3, 4)\), or the word "none". In the last two, your answer should be a comma-separated list of \( x \) values or the word "none".
Transcribed Image Text:**Problem Statement:** Let \( f(x) = x^3 - 15x^2 + 27x - 2 \). Find the open intervals on which \( f \) is increasing (decreasing). Then determine the \( x \)-coordinates of all relative maxima (minima). 1. \( f \) is increasing on the intervals: \((1, 9)\) 2. \( f \) is decreasing on the intervals: 3. The relative maxima of \( f \) occur at \( x = \) \(1\) 4. The relative minima of \( f \) occur at \( x = \) \(-\text{INF}\) **Notes:** In the first two, your answer should either be a single interval, such as \((0,1)\), a comma-separated list of intervals, such as \((- \infty, 2), (3, 4)\), or the word "none". In the last two, your answer should be a comma-separated list of \( x \) values or the word "none".
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