The function is not one of our twelve basic functions

Chapter 1, Problem 1.236

(choose chapter or problem)

The function \(g(x)=\sqrt{x^{2}+0.0001}-0.01\) is not one of our twelve basic functions written in another form.

(a) Graph the function and identify which basic function it appears to be.

(b) Verify numerically that it is not the basic function that it appears to be.

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