To determine which rational number could be graphed between 0 and 1 from the given options, we must evaluate each number to see if it lies within this interval.
Let's analyze each option one by one:
1. [tex]\(-\frac{1}{2}\)[/tex]: This number is negative and is therefore less than 0. It does not fall within the interval between 0 and 1.
2. [tex]\(\frac{1}{4}\)[/tex]: This number is positive. We need to check if it is between 0 and 1. Indeed, [tex]\(\frac{1}{4}\)[/tex] (or 0.25) is greater than 0 and less than 1. So, it lies within the interval.
3. [tex]\(\frac{3}{2}\)[/tex]: This number is greater than 1, as [tex]\(\frac{3}{2}\)[/tex] is equal to 1.5. Hence, it is outside the interval between 0 and 1.
4. 1.75: This number is also greater than 1. Therefore, it does not fall within the interval between 0 and 1.
After evaluating all the options, we find that the only number that lies between 0 and 1 is:
[tex]\[
\boxed{\frac{1}{4}}
\][/tex]
