Question

complete the description of the piecewise function graphed below
f(x)= { 5 if -3 if -5 if
intervals

Answer 1

To complete the description of the piecewise function you provided, we need to clearly define the different intervals for \( x \) and the corresponding function values for each segment. Based on your input, it seems like the function may have three constant values (5, -3, and -5), but we need to specify the intervals for each of these values.

Here's a possible complete description of the piecewise function based on typical intervals:

\[
f(x) =
\begin{cases}
5 & \text{if } x < -2 \\
-3 & \text{if } -2 \leq x < 1 \\
-5 & \text{if } x \geq 1
\end{cases}
\]

In this example:

- \( f(x) = 5 \) for any \( x \) less than -2.
- \( f(x) = -3 \) for \( x \) in the interval from -2 to just below 1.
- \( f(x) = -5 \) for \( x \) equal to or greater than 1.

Please adjust the intervals and values to accurately reflect the actual graph you have if this example does not match your function. Make sure to provide the correct intervals corresponding to each constant value.