?Use the given graph of \(f(x)=\sqrt{x}\) to find a number \(\delta\) such thatif

Chapter 2, Problem 3

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QUESTION:

Use the given graph of \(f(x)=\sqrt{x}\) to find a number \(\delta\) such that

if \(|x-4|<\delta \quad\) then \(\quad|\sqrt{x}-2|<0.4\)

Equation Transcription:

Text Transcription:

f(x)=square root x

|x-4|< delta

|square root x-2|<0.4

Questions & Answers

QUESTION:

Use the given graph of \(f(x)=\sqrt{x}\) to find a number \(\delta\) such that

if \(|x-4|<\delta \quad\) then \(\quad|\sqrt{x}-2|<0.4\)

Equation Transcription:

Text Transcription:

f(x)=square root x

|x-4|< delta

|square root x-2|<0.4

ANSWER:

Step 1 of 3

 or

The first "?" mark can be calculated as

, so the -coordinate of  must be

The second "?" mark can be calculated as

, so the -coordinate of  must be

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