21. If possible, find constants a and b so that the function f that follows is continuous and differentiable everywhere. If it is not possible, explain why not. 3x + a, if x < 1 f(x) = xb/2, if x > 1.

21. If possible, find constants a and b so that the function f that follows is continuous and differentiable everywhere. If it is not possible, explain why not. 3x + a, if x < 1 f(x) = xb/2, if x > 1.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Question

21. If possible, find constants a and b so that the function f
that follows is continuous and differentiable everywhere.
If it is not possible, explain why not.
3x + a, if x < 1
f(x) =
xb/2, if x > 1.

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