1. Let (r + 2)², if I < -1 f(x) = [1 - x], if -1 0. (a) Give the r coordinate(s) of the possible point(s) of discontinuity of f. (b) Determine if f is continuous at each a in (a). If not, identify the type of discontinuity as removable, jump essential, or infinite essential. (c) Redefine f(x) at all point(s) of removable discontinuity.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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1.
Let
(r + 2)²,
if
I < -1
f(x) =
[1 - x],
if -1 <r <0
|2x – 3| – 1, if
I > 0.
(a) Give the r coordinate(s) of the possible point(s) of discontinuity of f.
(b) Determine if f is continuous at each a in (a). If not, identify the type of discontinuity
as removable, jump essential, or infinite essential.
(c) Redefine f(x) at all point(s) of removable discontinuity.
Transcribed Image Text:1. Let (r + 2)², if I < -1 f(x) = [1 - x], if -1 <r <0 |2x – 3| – 1, if I > 0. (a) Give the r coordinate(s) of the possible point(s) of discontinuity of f. (b) Determine if f is continuous at each a in (a). If not, identify the type of discontinuity as removable, jump essential, or infinite essential. (c) Redefine f(x) at all point(s) of removable discontinuity.
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