Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y =  3x/x^2-4   intercept     (x, y)  =               relative minimum     (x, y)  =               relative maximum     (x, y)  =               point of inflection     (x, y)  =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)

y = 
3x/x^2-4
 
intercept     (x, y)  = 
 
 
 
 
 
 
 
relative minimum     (x, y)  = 
 
 
 
 
 
 
 
relative maximum     (x, y)  = 
 
 
 
 
 
 
 
point of inflection     (x, y)  = 
 
 
 
 
 
 
 



Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)

 
 
 



Use a graphing utility to verify your results.

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