2x-4 Let f(x) = - - so that f' (x) = 1-x and f"(x) = %3D 3x3 a) Find the domain and identify any intercepts. b) Find any vertical and horizontal asymptotes. Use limits to show your work for all of them. c) Find any intervals on which f is increasing and any on which f is decreasing. Find any relative extreme values. Find any intervals on which the graph of f is concave up and any on which the graph of f is concave down. f) Find any inflection points. Sketch the graph of f indicating all the above information.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Please answer all of the parts and please answer it neatly
1-x?
and f"(x) =
2x² -4
Let f(x) =
so that f'(x) =
%3D
3x3
a)
Find the domain and identify any intercepts.
b)
Find any vertical and horizontal asymptotes. Use limits to show your work for all of
them.
c)
Find any intervals on which f is increasing and any on which f is decreasing.
d)
Find any relative extreme values.
Find any intervals on which the graph of f is concave up and any on which the graph
of f is concave down.
f)
Find any inflection points.
g)
Sketch the graph of f indicating all the above information.
Transcribed Image Text:1-x? and f"(x) = 2x² -4 Let f(x) = so that f'(x) = %3D 3x3 a) Find the domain and identify any intercepts. b) Find any vertical and horizontal asymptotes. Use limits to show your work for all of them. c) Find any intervals on which f is increasing and any on which f is decreasing. d) Find any relative extreme values. Find any intervals on which the graph of f is concave up and any on which the graph of f is concave down. f) Find any inflection points. g) Sketch the graph of f indicating all the above information.
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