Originally Posted by

**Glitch** The question:

Determine at which points the function f: R -> R is continuous.

$\displaystyle f(x) = \left\{

\begin{array}{lr}

e^{2x} &x < 0 \\

cos x &x \geq 0

\end{array}

\right.$

I'm not sure how to do this. I know how to check if a function is continuous at a given point, but I don't know how to find those points. Is it just a matter of looking at it, and determining that the exponential and cosine functions are continuous for all x, therefore the piecewise function is also continuous for all x?