For what value of b is continuous at every x?

Chapter 2, Problem 44E

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QUESTION:

For what value of \(b\) is

\(g(x)= \begin{cases}x, & x<-2 \\ b x^{2}, & x \geq-2\end{cases}\)

continuous at every \(x\)?

Equation Transcription:

{

Text Transcription:

b

g(x)={_bx^2,x geq -2x,x<-2

x

Questions & Answers

QUESTION:

For what value of \(b\) is

\(g(x)= \begin{cases}x, & x<-2 \\ b x^{2}, & x \geq-2\end{cases}\)

continuous at every \(x\)?

Equation Transcription:

{

Text Transcription:

b

g(x)={_bx^2,x geq -2x,x<-2

x

ANSWER:

Solution:

Step 1 of 4:

In this problem, we have to find the value of  which is continuous at every x.

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