Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are certain constants. Find values of a and b that make f differentiable at the point -2.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 4AGP
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Consider the piecewise function
3x
if x < -2
f (x) =
ax² + 2x + b
if – 2 < x
Where a and b are certain constants. Find values of a and b that make ƒ differentiable at the
point -2.
Transcribed Image Text:Consider the piecewise function 3x if x < -2 f (x) = ax² + 2x + b if – 2 < x Where a and b are certain constants. Find values of a and b that make ƒ differentiable at the point -2.
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