APFIVE Continuity of a Piecewise Function
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 $$x = 3$$?
A
$$k = 9$$
B
No value of $$k$$ makes $$f$$ continuous at $$x = 3$$.
C
$$k = 0$$
D
$$k = -9$$
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