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2. Given: f(x) = x³ + 2x² (x - 1)²¹ with f'(x) x³ - 3x² 4x (x - 1)³ 14x + 4 (x - 1)4* 1 and y = x + 4 are asymptotes of and f'(x) = = a. Using limits, show that the lines with equation x the graph of f. b. Identify the critical numbers and the possible points of inflection of the graph of f.

2. Given: f(x) = x³ + 2x² (x - 1)²¹ with f'(x) x³ - 3x² 4x (x - 1)³ 14x + 4 (x - 1)4* 1 and y = x + 4 are asymptotes of and f'(x) = = a. Using limits, show that the lines with equation x the graph of f. b. Identify the critical numbers and the possible points of inflection of the graph of f.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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2. Given: f(x) = x³ + 2x² (x − 1)² ¹ with f'(x): = x³ 3x² - - (x - 1)³ 4x and f'(x) = 14x + 4 (x − 1)4° a. Using limits, show that the lines with equation x = 1 and y = x + 4 are asymptotes of the graph of f. b. Identify the critical numbers and the possible points of inflection of the graph of f.
Transcribed Image Text:2. Given: f(x) = x³ + 2x² (x − 1)² ¹ with f'(x): = x³ 3x² - - (x - 1)³ 4x and f'(x) = 14x + 4 (x − 1)4° a. Using limits, show that the lines with equation x = 1 and y = x + 4 are asymptotes of the graph of f. b. Identify the critical numbers and the possible points of inflection of the graph of f.
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