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x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and y-intercepts. 40 (b) Determine the equations of any asymptotes and classify the behaviour at their endpoints. 5 (c) Determine the intervals of increase and decrease and classify any local extrema. (d) Determine the intervals of concavity and identify any points of -5 -10 10 inflection. (e) Complete the 2nd derivative test. -5 (f) Use this information to sketch the curve. Make sure all key features are clearly presented. 4.

x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and y-intercepts. 40 (b) Determine the equations of any asymptotes and classify the behaviour at their endpoints. 5 (c) Determine the intervals of increase and decrease and classify any local extrema. (d) Determine the intervals of concavity and identify any points of -5 -10 10 inflection. (e) Complete the 2nd derivative test. -5 (f) Use this information to sketch the curve. Make sure all key features are clearly presented. 4.

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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x' +8 The function f(x)=- x'-16 has derivatives f'(x)%3= 48 and f"(x)= (a) Determine the x- and y-intercepts. 10 (b) Determine the equations of any asymptotes and classify the behaviour at their endpoints. 5 (c) Determine the intervals of increase and decrease and classify any local extrema. (d) Determine the intervals of concavity and identify any points of -to -5 10 inflection. (e) Complete the 2nd derivative test. (f) Use this information to sketch the curve. Make sure all key features -5 are clearly presented. -10
Transcribed Image Text:x' +8 The function f(x)=- x'-16 has derivatives f'(x)%3= 48 and f"(x)= (a) Determine the x- and y-intercepts. 10 (b) Determine the equations of any asymptotes and classify the behaviour at their endpoints. 5 (c) Determine the intervals of increase and decrease and classify any local extrema. (d) Determine the intervals of concavity and identify any points of -to -5 10 inflection. (e) Complete the 2nd derivative test. (f) Use this information to sketch the curve. Make sure all key features -5 are clearly presented. -10
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