Find the values of a and b that make the following piecewise defined function both continuous and differentiable everywhere. Provide your answer below: a and b = f(x) 3x +4, x < -3 2x² + ax+b, x ≥ −3

College Algebra (MindTap Course List)
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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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Find the values of a and b that make the following piecewise defined function both continuous and differentiable
everywhere.
Provide your answer below:
a=
and b =
f(x) =
3x + 4,
2x²
+ ax+b,
x < -3
x ≥ −3
Transcribed Image Text:Find the values of a and b that make the following piecewise defined function both continuous and differentiable everywhere. Provide your answer below: a= and b = f(x) = 3x + 4, 2x² + ax+b, x < -3 x ≥ −3
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