Consider the function: f(x) = x^3, if x ≤ 1, 12 − 5x, if 1 < x < 3, x^2 − 6x + 6, if x ≥ 3. (a) Draw the graph of f(x). (b) Find all points c such that the limx→c f(x) does not exist. (c) Find all points c such that f(x) is not continuous at x = c. Explain

Consider the function: f(x) = x^3, if x ≤ 1, 12 − 5x, if 1 < x < 3, x^2 − 6x + 6, if x ≥ 3. (a) Draw the graph of f(x). (b) Find all points c such that the limx→c f(x) does not exist. (c) Find all points c such that f(x) is not continuous at x = c. Explain

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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Question

Consider the function:
f(x) =
x^3, if x ≤ 1,
12 − 5x, if 1 < x < 3,
x^2 − 6x + 6, if x ≥ 3.
(a) Draw the graph of f(x).
(b) Find all points c such that the limx→c f(x) does not exist.
(c) Find all points c such that f(x) is not continuous at x = c. Explain

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