3. For m₁ and m₂ numbers, with m₁ { Prove that the function f:R → R is continuous but not differentiable at x = 0. f(x) = = m₂, define mix + 4 m₂x + 4 if x ≤ 0 if x > 0.
3. For m₁ and m₂ numbers, with m₁ { Prove that the function f:R → R is continuous but not differentiable at x = 0. f(x) = = m₂, define mix + 4 m₂x + 4 if x ≤ 0 if x > 0.
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...
Related questions
Question
![3. For m₁ and m₂ numbers, with m₁
{
Prove that the function f:R → R is continuous but not differentiable at x = 0.
f(x) =
=
m₂, define
mix + 4
m₂x + 4
if x ≤ 0
if x > 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77cfc5ac-076f-4cb7-b69f-6b7f1cfee42f%2F81b71d28-527c-468c-9794-28ed79f7a857%2Ftecw73_processed.png&w=3840&q=75)
Transcribed Image Text:3. For m₁ and m₂ numbers, with m₁
{
Prove that the function f:R → R is continuous but not differentiable at x = 0.
f(x) =
=
m₂, define
mix + 4
m₂x + 4
if x ≤ 0
if x > 0.
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