Question

Choose the correct piecewise function.

(1 point)
Responses

y={−2x3x
y equals left brace line 1 negative 2 time x line 2 3 times x

y={−2, x>03, x>0

Answer 1

To identify the correct piecewise function from the given options, it seems necessary to clarify the text format in which the expressions were presented. Assuming the first expression is a misunderstanding, I will address both representations:

1. **Option 1:**
- It looks like it's meant to represent a piecewise function:
\[
y = \begin{cases}
-2 & \text{if } x \leq 0 \\
3 & \text{if } x > 0
\end{cases}
\]

2. **Option 2:**
- This seems to convey:
\[
y = \begin{cases}
-2x & \text{if } x \\
3x & \text{if } x
\end{cases}
\]
However, this is incomplete without specific conditions for \(x\).

From the clear structure of the first option, it appears to be the more complete and correct form of a piecewise function. The function behaves differently based on the value of \(x\).

### Conclusion:
The correct piecewise function is:
\[
y = \begin{cases}
-2 & \text{if } x \leq 0 \\
3 & \text{if } x > 0
\end{cases}
\]