Continuous Extension of a Function Let . (a) Sketch

Chapter 10, Problem 10.1.1.242

(choose chapter or problem)

Continuous Extension of a Function Let

\(f(x)=\left\{\begin{array}{ll} x^{2}-3 x+3 & \text { if } x \neq 2 \\ a & \text { if } x=2 \end{array}\right.).

(a) Sketch several possible graphs for ƒ.

(b) Find a value for a so that the function is continuous at \(x=2\).

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