Refer to the image below for the graph.
Work Step by Step
The given interval involves an open bracket. This means that the lower limit (which is 0) is included in the set. A close parentheses was used, so the upper limit (which is 1) is not included in the set. Thus, the given interval includes the numbers between $0$ and $1$ and includes 0 but not 1. Therefore, the given interval is equivalent to: $0 \le x \lt 1$ To graph this on a number line, plot a solid dot at 0 and a hollow dot (or a hole) at $1$. Then, shade the region between them. (Refer to the attached image in the answer part above.)