Let f(z) = (x+2)°e, f'(x) = -r(x+2)e¯ and f"(z) =e"(r? - 2). Find r- and y- intercepts of the graph of y = f(r). Find vertical and horizontal asymptote(s) of f, if it has any. (a) (b) (c) relative extrema of f. Find the critical number(s), intervals(s) of increasing and decreasing and points of (d) Find intervals of concavity and the point(s) of inflection of f, if any. (c) Sketch the graph of f, label all important points from part (a), (b) and (e).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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Let f(z) = (x+2)°e, f'(x) = -r(x+2)e¯ and f"(z) =e"(r? - 2).
Find r- and y- intercepts of the graph of y = f(r).
Find vertical and horizontal asymptote(s) of f, if it has any.
(a)
(b)
(c)
relative extrema of f.
Find the critical number(s), intervals(s) of increasing and decreasing and points of
(d)
Find intervals of concavity and the point(s) of inflection of f, if any.
(c)
Sketch the graph of f, label all important points from part (a), (b) and (e).
Transcribed Image Text:Let f(z) = (x+2)°e, f'(x) = -r(x+2)e¯ and f"(z) =e"(r? - 2). Find r- and y- intercepts of the graph of y = f(r). Find vertical and horizontal asymptote(s) of f, if it has any. (a) (b) (c) relative extrema of f. Find the critical number(s), intervals(s) of increasing and decreasing and points of (d) Find intervals of concavity and the point(s) of inflection of f, if any. (c) Sketch the graph of f, label all important points from part (a), (b) and (e).
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