For what values of a is continuous at every x?

Chapter 2, Problem 45E

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QUESTION:

For what values of \(a\) is

                 \(f(x)= \begin{cases}a^{2} x-2 a, & x \geq 2 \\ 12, & x<2\end{cases}\)

continuous at every \(x\)?

Equation Transcription:

{

Text Transcription:

a

f(x)={_12, x<2 ^ a^2x-2a,x geq 2

x

Questions & Answers

QUESTION:

For what values of \(a\) is

                 \(f(x)= \begin{cases}a^{2} x-2 a, & x \geq 2 \\ 12, & x<2\end{cases}\)

continuous at every \(x\)?

Equation Transcription:

{

Text Transcription:

a

f(x)={_12, x<2 ^ a^2x-2a,x geq 2

x

ANSWER:

Solution

Step 1 of 4

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

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