Making a Piecewise Function a Single Function Is there a way to turn a piecewise function into one function. For example:
$$\ f(x)=\begin{cases} g(x) & \text{if $a≤x<b $} \\ h(x) & \text{if $b≤x≤d$} \end{cases}$$
(Can you use the Heaviside Step Function? $\theta(x))$

Note that the description you gave is already a function.
You could use the Heaviside Step Function, but note that this will define a function from $\mathbb{R}\rightarrow \{0,1\}$ and not just from the intervals $[a,b]\cup[c,d]$.
