Continuity of a Piecewise Function

Mark

Let the function $f$ be defined by $f(x) = \begin{cases} x^2 - 9 & \text{if } x \neq 3 \\ k & \text{if } x = 3 \end{cases}$ . For what value of the constant $k$ is $f$ continuous at $x = 3$ ?

$k = 9$

$k = -9$

No value of $k$ makes $f$ continuous at $x = 3$ .

$k = 0$

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