Question

Evaluate the piecewise function for the given values. (3 points) f(1)= f(-4)= f(6)= -1 -3 -11 0 5

Answer 1

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:

1. **For \(f(1)\)**: Since \(1\) falls in the range \(0 \leq x < 5\), we would have \(f(1) = -3\).
2. **For \(f(-4)\)**: Since \(-4\) is less than \(0\), we would have \(f(-4) = -1\).
3. **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.