So, I might be completely over thinking, or over looking this, but I am having a hard time understanding the linear combinations of step functions.
Example: $g(t) = u_{1}(t) + 2u_{3}(t) - 6u_{4}(t)$
I understand the concept of a single unit step function, for example, $ 6u_{4}(t) =\begin{cases}0, & t < 4\\6, & t \geq 4 \end{cases} $
So, my question is, how do I combine these types of functions?
EDIT Going off of Alan's answer, and my example above:
$g(t) = \begin{cases}0, & t < 1\\1, & 1 \leq t < 3\\ 3, & 3 \leq t < 4\\ -3, & t\geq4\end{cases} $ .. is this correct?