Choose the correct piecewise function.

Question

(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: $$y=\{\begin{array}{lll}-2& \text{if }x\le 03& \text{if }x>0\end{array}$$

2. Option 2:

   • This seems to convey: $$y=\{\begin{array}{lll}-2x& \text{if }x3x& \text{if }x\end{array}$$ 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: $$y=\{\begin{array}{lll}-2& \text{if }x\le 03& \text{if }x>0\end{array}$$