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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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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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.
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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