For what values of a and b is continuous at every x?

Chapter 2, Problem 48E

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QUESTION:

For what values of \(a\) and \(b\) is

             \(g(x)= \begin{cases}a x+2 b, & x \leq 0 \\ x^{2}+3 a-b, & 0<x \leq 2 \\ 3 x-5, & x>2\end{cases}\)

continuous at every \(x\)?

Equation Transcription:

{

Text Transcription:

a

b

g(x)={_3x-5,x>2 ^x^2+3a-b,0<x leq 2 ax+2b,x leq 0

x

Questions & Answers

QUESTION:

For what values of \(a\) and \(b\) is

             \(g(x)= \begin{cases}a x+2 b, & x \leq 0 \\ x^{2}+3 a-b, & 0<x \leq 2 \\ 3 x-5, & x>2\end{cases}\)

continuous at every \(x\)?

Equation Transcription:

{

Text Transcription:

a

b

g(x)={_3x-5,x>2 ^x^2+3a-b,0<x leq 2 ax+2b,x leq 0

x

ANSWER:

Solution
Step 1 of 2:

We have to find the values of and where the given function is continuous

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