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2x2 1) Given: f(x)= 48(3x +16) f"(x)=- (² –16) -8 -48x s'(x)=: (x² -16) x-16 a) Determine any symmetry b) Find the x- and y-intercepts c) Locate any vertical asymptotes d) Use lim f (x) and lim f(x) to determine the end behavior

2x2 1) Given: f(x)= 48(3x +16) f"(x)=- (² –16) -8 -48x s'(x)=: (x² -16) x-16 a) Determine any symmetry b) Find the x- and y-intercepts c) Locate any vertical asymptotes d) Use lim f (x) and lim f(x) to determine the end behavior

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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2x-8 1) Given: f(x)= 48(3x² +16) (x² -16) -48x s'(x) = (x² - 16)2 s"(x)=- !! x-16 a) Determine any symmetry b) Find the x- and y-intercepts c) Locate any vertical asymptotes d) Use lim f(x) and lim f(x) to determine the end behavior e) Locate any horizontal asymptotes f) Use a sign analysis of f(x) to show the intervals where the graph is below and above the x-axis. g) Use a sign analysis to show the intervals where ƒ(x)is increasing and deereasing. h) Use a sign analysis to show the intervals where ƒ(x) is eoncave up and concave down. i) Locate any critical points, relative maximum or minimum, or inflection points. D Graph the function.
Transcribed Image Text:2x-8 1) Given: f(x)= 48(3x² +16) (x² -16) -48x s'(x) = (x² - 16)2 s"(x)=- !! x-16 a) Determine any symmetry b) Find the x- and y-intercepts c) Locate any vertical asymptotes d) Use lim f(x) and lim f(x) to determine the end behavior e) Locate any horizontal asymptotes f) Use a sign analysis of f(x) to show the intervals where the graph is below and above the x-axis. g) Use a sign analysis to show the intervals where ƒ(x)is increasing and deereasing. h) Use a sign analysis to show the intervals where ƒ(x) is eoncave up and concave down. i) Locate any critical points, relative maximum or minimum, or inflection points. D Graph the function.
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