5. f(x) is defined as f(x) = -3x + A I≤1 r²+(x-1)B-3 r>1 A For what values of the constants A and B will f(r) be continuous and differentiable at z = 1. Justify your answer.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.2: Linear Functions And Applications
Problem 33PS
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5. f(x) is defined as
f(x) =
-3x + A
I≤1
r²+(x-1)B-3 r>1
.
For what values of the constants A and B will f(r) be continuous and differentiable at z = 1.
Justify your answer.
Transcribed Image Text:5. f(x) is defined as f(x) = -3x + A I≤1 r²+(x-1)B-3 r>1 . For what values of the constants A and B will f(r) be continuous and differentiable at z = 1. Justify your answer.
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