Let (-+b, if <1 if = 1 -1, if r> 1(and a b) (a) For what value(s) of b is f continuous at 1? f(x)= 3, Answer: b (b) For what value(s) of b does f have a removable discontinuity at 1? Answer: b = (c) For what value(s) of b does f have an infinite discontinuity at 1? Answer: b = (d) For what value(s) of b does f have a jump discontinuity at 1? Write your answer in interval notation. Answer: b is in the set

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 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Let
ifz <1
ifr=1
-1,
ifr> 1(and a b)
(a) For what value(s) of b is f continuous at 1?
(-+b,
f(x)=3,
Answer: b =
(b) For what value(s) of b does f have a removable discontinuity at 1?
Answer: b =
(c) For what value(s) of b does f have an infinite discontinuity at 1?
Answer: b:
=
(d) For what value(s) of b does f have a jump discontinuity at 1? Write your answer in interval notation.
Answer: b is in the set
Transcribed Image Text:Let ifz <1 ifr=1 -1, ifr> 1(and a b) (a) For what value(s) of b is f continuous at 1? (-+b, f(x)=3, Answer: b = (b) For what value(s) of b does f have a removable discontinuity at 1? Answer: b = (c) For what value(s) of b does f have an infinite discontinuity at 1? Answer: b: = (d) For what value(s) of b does f have a jump discontinuity at 1? Write your answer in interval notation. Answer: b is in the set
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