Sketch the graph of one function f(x) that satisfies all of the following conditions- (a) f is continuous on (-∞, -2) U (-2,0) U (0, ∞) (b) f is not differentiable at x = 3 (c) f(0) = -1 (d) lim f(x) = -2 x-0 (e) lim f(x) = ∞ x4-2 No graph here. (f)_lim_ f(x) = 1 x118 (g) Draw and label any asymptotes with their equations on the graph.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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sketch the following graph
Sketch the graph of one function f(x) that satisfies all of the following conditions:
(a) f is continuous on (-∞, -2) U (-2, 0) U (0, ∞)
(b) f is not differentiable at x = 3
(c) f(0) = -1
(d) lim f(x) = -2
x-0
(e) lim f(x) = ∞
x4-2
No graph here.
(f)_lim_f(x) = 1
x118
(g) Draw and label any asymptotes with their equations on the graph.
Transcribed Image Text:Sketch the graph of one function f(x) that satisfies all of the following conditions: (a) f is continuous on (-∞, -2) U (-2, 0) U (0, ∞) (b) f is not differentiable at x = 3 (c) f(0) = -1 (d) lim f(x) = -2 x-0 (e) lim f(x) = ∞ x4-2 No graph here. (f)_lim_f(x) = 1 x118 (g) Draw and label any asymptotes with their equations on the graph.
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