Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$0\leq x \lt 1$. See the figure below.
The given interval uses a bracket on the left and a parenthesis on right so its equivalent inequality notation would involve $\leq$ on the left end and $\lt$ on the right. Thus, the given interval can be written as $0\leq x \lt 1$. To graph, plot solid dot at $x=0$ and a circle at $x=1$, then shade the region in between. See the figure below.