Answer
$D$
Work Step by Step
We substitute $-\frac{1}{4}$ to $x$ in the function:
$f(-\frac{1}{4}) = 2(-\frac{1}{4}) - 3$
$f(-\frac{1}{4}) = -\frac{2}{4} - 3$
$f(-\frac{1}{4}) = -\frac{1}{2} - 3$
$f(-\frac{1}{4}) = -\frac{1}{2} - \frac{6}{2}$
$f(-\frac{1}{4}) = -\frac{7}{2}$
Thus, the answer is Option $D$.