To evaluate the piecewise function at the specified values \(f(1)\), \(f(-4)\), and \(f(6)\), we first need to define the piecewise function. However, since you did not provide the specific definition of the piecewise function, I cannot calculate specific function values.
If you have a piecewise function like this:
\[ f(x) = \begin{cases} -1 & \text{if } x < 0 \ -3 & \text{if } 0 \leq x < 5 \ -11 & \text{if } x \geq 5 \end{cases} \]
Then we can evaluate \(f(1)\), \(f(-4)\), and \(f(6)\) as follows:
- For \(f(1)\): Since \(1\) falls in the range \(0 \leq x < 5\), we would have \(f(1) = -3\).
- For \(f(-4)\): Since \(-4\) is less than \(0\), we would have \(f(-4) = -1\).
- For \(f(6)\): Since \(6\) is greater than or equal to \(5\), we would have \(f(6) = -11\).
Thus,
- \(f(1) = -3\),
- \(f(-4) = -1\),
- \(f(6) = -11\).
Please provide the specific piecewise function definition if you need a different evaluation.