Let: f(x)= X-3 f"x)= - 2(x-6) %3D 2 5 8. 3(x-1) 1.Find x- andy- intercepts of the graph of f,if it has any. (x-1) 3 9(x-1) ° 2. Find vertical and horizontal asymptote(s) of f, if W has any. 3. Find the critical number(s), intervals(s) of increasing and decreasing and points of relative extrema of f , if it has any. 4. Find intervals of concavity and the point(s) of inflection of f, if any. 5. Sketch the graph of f, label all important points from part (1), (2) and (3).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section: Chapter Questions
Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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Let: f(x)=
X-3
f"x)= -
2(x-6)
%3D
2
5
8.
3(x-1)
1.Find x- andy- intercepts of the graph of f,if it has any.
(x-1) 3
9(x-1) °
2. Find vertical and horizontal asymptote(s) of f, if W has any.
3. Find the critical number(s), intervals(s) of increasing and decreasing and points of
relative extrema of f , if it has any.
4. Find intervals of concavity and the point(s) of inflection of f, if any.
5. Sketch the graph of f, label all important points from part (1), (2) and (3).
Transcribed Image Text:Let: f(x)= X-3 f"x)= - 2(x-6) %3D 2 5 8. 3(x-1) 1.Find x- andy- intercepts of the graph of f,if it has any. (x-1) 3 9(x-1) ° 2. Find vertical and horizontal asymptote(s) of f, if W has any. 3. Find the critical number(s), intervals(s) of increasing and decreasing and points of relative extrema of f , if it has any. 4. Find intervals of concavity and the point(s) of inflection of f, if any. 5. Sketch the graph of f, label all important points from part (1), (2) and (3).
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