Final answer:
Substituting (-3) into the function (f(x) = 4x) yields (f(-3) = -12). This implies that when (-3) is input, the output is (-12). The function's behavior involves multiplying the input by 4, illustrating a straightforward transformation and showing a decrease of (12) for an input of (-3).
Step-by-step explanation:
In the context of the function (f(x) = 4x), finding (f(-3)) involves substituting (-3) for (x). This process, akin to plugging (-3) into the function, results in (f(-3) = 4 \times (-3) = -12). This signifies that when (-3) is the input, the output is (-12). The function's behavior is straightforward: it multiplies the input ((x)) by 4. In this case, applying the function to (-3) yields (-12). This calculation showcases the versatility of functions in transforming inputs into corresponding outputs. In practical terms, (f(-3) = -12) indicates that, for an initial investment of (-3), the function results in a decrease of (12). Understanding these functional relationships is fundamental in various mathematical and real-world scenarios, facilitating predictions and analyses based on given functions.