?Use the given graph of \(f(x)=x^{2}\) to find a number \(\delta\) such that if

Chapter 2, Problem 4

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QUESTION:

Use the given graph of \(f(x)=x^{2}\) to find a number \(\delta\) such that if \(|x-1|<\delta \quad\) then \(\quad\left|x^{2}-1\right|<\frac{1}{2}\)

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QUESTION:

Use the given graph of \(f(x)=x^{2}\) to find a number \(\delta\) such that if \(|x-1|<\delta \quad\) then \(\quad\left|x^{2}-1\right|<\frac{1}{2}\)

ANSWER:

Step 1 of 3

The given function,

At the left ‘?’ mark, the x-coordinate of f must be  for the y-value  

 Similarly, at the right of ‘?’ the x-coordinate of f is  for the y-value  

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