Given the function -メ (X+2)(x-2) (h+xe-,x)x9- with y"=-6x(x²-ax + 4) (x+2)³ (x -)° groaaph Gf the function using harozontal, uertical Sketch a Y,Y'sy" "and and strer asymptotes.
Given the function -メ (X+2)(x-2) (h+xe-,x)x9- with y"=-6x(x²-ax + 4) (x+2)³ (x -)° groaaph Gf the function using harozontal, uertical Sketch a Y,Y'sy" "and and strer asymptotes.
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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Question
Show me the graph for this please.
![**Given Function and Derivative Analysis**
**Function:**
\[ y = \frac{-x^3}{(x+2)(x-2)} \]
**Second Derivative:**
\[ y'' = \frac{-6x(x^2 - 2x + 4)}{(x+2)^3(x-1)^3} \]
**Task:**
Sketch a graph of the function using \( y, y', y'' \) and determine the horizontal, vertical, and other asymptotes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3341284f-d761-40a1-94fb-8b0932aec828%2F30202624-8f2c-4111-9531-6dcb6d6d0038%2Fjtq50k4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Given Function and Derivative Analysis**
**Function:**
\[ y = \frac{-x^3}{(x+2)(x-2)} \]
**Second Derivative:**
\[ y'' = \frac{-6x(x^2 - 2x + 4)}{(x+2)^3(x-1)^3} \]
**Task:**
Sketch a graph of the function using \( y, y', y'' \) and determine the horizontal, vertical, and other asymptotes.
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