Final answer:
To find f(-1/4), evaluate the function f(x) = ||x|| at x = -1/4. The output of the function is always positive, so the distance of -1/4 from zero on the number line is 1/4.
Step-by-step explanation:
To find f(-1/4), we need to evaluate the function f(x) = ||x|| at x = -1/4. The double bars around x represent the absolute value function, which means that the output of the function is always positive. Therefore, f(x) is the distance of x from zero on the number line, regardless of the sign of x.
Since f(-1/4) asks for the distance of -1/4 from zero, the output will be 1/4. So, f(-1/4) = 1/4.