. Sketch a graph of the function y = e" (x² – 3) showing clearly where it is concave up or concave down. Indicate the x-coordinates of any maxima, minima and points of inflection and find the asymptotic behaviour. Show all your reasoning. (A graph from a computer generated plot will receive no marks unless accompanied by thorough derivations of the regions of interest.)

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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4. Sketch a graph of the function
y = e" (x² – 3)
showing clearly where it is concave up or concave down. Indicate the x-coordinates
of any maxima, minima and points of inflection and find the asymptotic behaviour.
Show all your reasoning.
(A graph from a computer generated plot will receive no marks unless accompanied
by thorough derivations of the regions of interest.)
Transcribed Image Text:4. Sketch a graph of the function y = e" (x² – 3) showing clearly where it is concave up or concave down. Indicate the x-coordinates of any maxima, minima and points of inflection and find the asymptotic behaviour. Show all your reasoning. (A graph from a computer generated plot will receive no marks unless accompanied by thorough derivations of the regions of interest.)
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