Find the value of a that makes the following function differentiable for all values of x.axif x < 020-12-20g(x) = {x²-3x if x20The function g(x) is differentiable for all values of x when a =(Simplify your answer.)

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Find the value of a that makes the following function differentiable for all values of x. g(x)= if x < 0 x²-3x if x ≥0 ax The function g(x) is differentiable for all values of x when a = (Simplify your answer.)

Find the value of a that makes the following function differentiable for all values of x. g(x)= if x < 0 x²-3x if x ≥0 ax The function g(x) is differentiable for all values of x when a = (Simplify your answer.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.9: Combining Functions

Problem 17PPS

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Question

Find the value of a that makes the following function differentiable for all values of x.
ax
if x < 0
20-12-20
g(x) = {
x²-3x if x20
The function g(x) is differentiable for all values of x when a =
(Simplify your answer.)

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