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Consider the function f(x) : = m2 – 52+4 x + 2 a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease.

Consider the function f(x) : = m2 – 52+4 x + 2 a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease.

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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Consider the function \( f(x) = \frac{x^2 - 5x + 4}{x + 2} \). a. Find the first derivative. \( f'(x) = \) [blank] b. List any critical values. [blank] c. Identify intervals of increase. [blank] d. Identify intervals of decrease. [blank] e. Based on parts a through d, \( f(x) \) has a maximum of \( y = \) [blank] when \( x = \) [blank] f. Based on parts b through e, \( f(x) \) has a minimum of \( y = \) [blank] when \( x = \) [blank] g. State any vertical asymptotes of the curve. [blank]
Transcribed Image Text:Consider the function \( f(x) = \frac{x^2 - 5x + 4}{x + 2} \). a. Find the first derivative. \( f'(x) = \) [blank] b. List any critical values. [blank] c. Identify intervals of increase. [blank] d. Identify intervals of decrease. [blank] e. Based on parts a through d, \( f(x) \) has a maximum of \( y = \) [blank] when \( x = \) [blank] f. Based on parts b through e, \( f(x) \) has a minimum of \( y = \) [blank] when \( x = \) [blank] g. State any vertical asymptotes of the curve. [blank]
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The given function  is f open parentheses x close parentheses equals fraction numerator x squared minus 5 x plus 4 over denominator x plus 2 end fraction

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e,f,g

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