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