showing the working, sketch the graph of each of the following functions. Note: you do not need to consider f"(x), concavity and points of inflection (step 6). (a) f(x) = x²(x-2)(x+3) (b) f(x) = Note: The key features of a function to be considered are: 1. Domain; 2. x-intercept(s) and y-intercept; 3. Vertical and Horizontal asymptotes; 4. Symmetry; 5. First derivative to identify critical points and regions where the function is increasing/decreasing (you should indicate clearly whether a critical point is a local max/min or neither);

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section: Chapter Questions
Problem 74SGR
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showing the working, sketch the graph of each of the following functions.
Note: you do not need to consider f"(x), concavity and points of inflection (step 6).
(a) f(x) = x²(x-2)(x+3)
(b) f(x) =
Note: The key features of a function to be considered are: 1. Domain; 2. x-intercept(s)
and y-intercept; 3. Vertical and Horizontal asymptotes; 4. Symmetry; 5. First derivative
to identify critical points and regions where the function is increasing/decreasing (you
should indicate clearly whether a critical point is a local max/min or neither);
Transcribed Image Text:showing the working, sketch the graph of each of the following functions. Note: you do not need to consider f"(x), concavity and points of inflection (step 6). (a) f(x) = x²(x-2)(x+3) (b) f(x) = Note: The key features of a function to be considered are: 1. Domain; 2. x-intercept(s) and y-intercept; 3. Vertical and Horizontal asymptotes; 4. Symmetry; 5. First derivative to identify critical points and regions where the function is increasing/decreasing (you should indicate clearly whether a critical point is a local max/min or neither);
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