In Exercises 7982, complete the following for the given

Chapter 10, Problem 10.1.1.233

(choose chapter or problem)

In Exercises 79–82, complete the following for the given piecewise-defined function ƒ.

(a) Draw the graph of ƒ.

(b) At what points c in the domain of ƒ does \(\lim _{x \rightarrow c} f(x)\) exist?

(c) At what points c does only the left-hand limit exist?

(d) At what points c does only the right-hand limit exist?

\(f(x)=\left\{\begin{array}{cl} \sqrt{1-x^{2}} & \text { if }-1 \leq x<0 \\ x & \text { if } 0 \leq x<1 \\ 2 & \text { if } x=1 \end{array}\right.\)

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