- #1

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Find k so that the following function is continuous on any interval?

[tex] f(x)=kx [/tex] if [tex]0 \leq x \leq 2 [/tex] and [tex]f(x)=5x^2 [/tex] if [tex] 2\leq x [/tex]

Alright I know the answer is 10, but I don't understand how you get there

I mean I just doubled 5, because I took it off an example in the book that had answer

but i would like be able to do eveutnally do

If possible choose k so that the following function is continusous on any function

[tex]f(z) = \left\{ \begin{array}{rcl}

\frac{5x^3-10x^2}{x-2} & \mbox{ }

& x\neq2 \\

k & \mbox{ } & x=2

\end{array}\right.[/tex]