3x2 -. Let f(x) = x²-4' Find the vertical and horizontal asymptote ofƒ(x), if exists. Find all critical point(s) of f (x) and determine the nature of the point(s). Use the second derivative of f (x) to determine the interval where f (x) is а) b) concave upward or downward. d) Sketch the graph of f (x).

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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3x?
-. Let f (x) =
x2-4
Find the vertical and horizontal asymptote of f (x), if exists.
Find all critical point(s) of f(x) and determine the nature of the point(s).
Use the second derivative of f (x) to determine the interval where f (x) is
а)
b)
c)
concave upward or downward.
d)
Sketch the graph of f(x).
Transcribed Image Text:3x? -. Let f (x) = x2-4 Find the vertical and horizontal asymptote of f (x), if exists. Find all critical point(s) of f(x) and determine the nature of the point(s). Use the second derivative of f (x) to determine the interval where f (x) is а) b) c) concave upward or downward. d) Sketch the graph of f(x).
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