s, TelatIve extre a, points Of ptoles. exist 3x y = 2 - 16 intercept (x, y) = (0.0 relative minimum (x, y) = (DNE relative maximum (x, y) = (DNE point of inflection (x, y) = (0.0 Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) -4,4 Use a graphing utility to verify your results. y 15 15 10 10 5 -15 10 5 10 15 15 -10 -5 10 15 -10- - 10 -15 15 y y 15 15 10 10 15 -10 10 15 -15 -10 -5 10 15 10 10

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. Show full solution

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.)
3x
y =
* - 16
intercept
(x, y) = (0.0
relative minimum
(x, y) =
DNE
relative maximum (x, y) =
DNE
point of inflection
(х. у) - (10.0
Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)
|-4,4
Use a graphing utility to verify your results.
y
y
15
15
10
10
-15
10
5
10
15
-15
-10
-5
10
15
-5
-5
- 10
10
15
-15
y
y
15
15
10
10
-15
10
10
15
-15
-10
-5
10
15
-5
-5
10
-10
-15
-15
Transcribed Image Text: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.) 3x y = * - 16 intercept (x, y) = (0.0 relative minimum (x, y) = DNE relative maximum (x, y) = DNE point of inflection (х. у) - (10.0 Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) |-4,4 Use a graphing utility to verify your results. y y 15 15 10 10 -15 10 5 10 15 -15 -10 -5 10 15 -5 -5 - 10 10 15 -15 y y 15 15 10 10 -15 10 10 15 -15 -10 -5 10 15 -5 -5 10 -10 -15 -15
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