An engineer is comparing two functions, denoted as $f_\alpha(x)$ and $f_\beta(x)$. Both functions are given the exact same input value for $x$, but they produce different output values. Based on this notation, what is the most logical explanation for the different outputs?

A parameterized function can be written in a general form that explicitly lists its parameters, or in a more concise subscript form. Match each function written in the general form to its equivalent subscript form.

Interpreting Parameterized Function Notation in Context