g(x)=x²-1' state each of the following. Show all the For the graph of the function steps clearly. You may use the technology to get the g'(x) and g''(x). a) x-int and y-int. b) VA, HA and OA if there is any. Show steps how you got the answers. Be sure to use the limit method for HA, not the short cut method. c) End behavior near VA and HA. See the notes for proper methods taught in the course. d) Critical points from the g'(x). Show all the derivative steps. e) Intervals of increasing/decreasing, local maximum/minimum: Use the inc/dec chart.
g(x)=x²-1' state each of the following. Show all the For the graph of the function steps clearly. You may use the technology to get the g'(x) and g''(x). a) x-int and y-int. b) VA, HA and OA if there is any. Show steps how you got the answers. Be sure to use the limit method for HA, not the short cut method. c) End behavior near VA and HA. See the notes for proper methods taught in the course. d) Critical points from the g'(x). Show all the derivative steps. e) Intervals of increasing/decreasing, local maximum/minimum: Use the inc/dec chart.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:For the graph of the
function(x)=₁
state each of the following. Show all the
steps clearly. You may use the technology to get the g'(x) and g''(x).
a) x-int and y-int.
b) VA, HA and OA if there is any. Show steps how you got the answers. Be sure to use the
limit method for HA, not the short cut method.
c) End behavior near VA and HA. See the notes for proper methods taught in the course.
d) Critical points from the g'(x). Show all the derivative steps.
e) Intervals of increasing/decreasing, local maximum/minimum: Use the inc/dec chart.
f) Critical points from the g "(x). Show all the derivative steps.
g) Points of inflection (POI) and intervals of concavity: Use the concavity chart.
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