Step 1 :Determine the value of the function f(x) when x = -4. Since -4 is greater than or equal to -5, we will use the first part of the function definition: \(2x - 1\).
Step 2 :Substitute x = -4 into the function: \(f(-4) = 2(-4) - 1\)
Step 3 :Calculate the value: \(f(-4) = -8 - 1\)
Step 4 :Simplify the expression: \(f(-4) = -9\)
Step 5 :\(\boxed{-9}\)