Anyone know how to do this problem? My math teacher gave it as a "challenge" problem, so it is not required homework. I would just like to know how to complete it. Thanks!!\(\displaystyle \mbox{11. Consider the following function:}\)
. . . . .\(\displaystyle f(x)\, =\, \begin{cases}{lr}k^2x^3\, -\, k&x\, \leq\, 2\\3x\, -\, k^2&x\, >\, 2\end{cases}\)
\(\displaystyle \mbox{For what values of }\, k\, \mbox{ is }\, f(x)\, \mbox{continuous for all real numbers?}\)
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