(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For what value of the constant c is the function f continuous on [tex](-\infty,\infty)[/tex]

[tex]

f(x)=\left\{\begin{array}{cc}cx^2+2x,&\mbox{ if }

x<2\\x^3-cx, & \mbox{ if } x\geq2\end{array}\right.

[/tex]

2. Relevant equations

No idea :(

3. The attempt at a solution

I tried looking at the examples preceding this section's problem section but could not find anything quite resembling this. There are examples for finding where f would be continous at whatever values at x.. but not for a constant c, which is different. Pointers would be appreciated.

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# Homework Help: For what value of the constant c is f(x) continuous?

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