Use the image to answer the question.

A coordinate plane's axes range from negative 10 to 10 by 1-unit increments. Two rays are plotted. The first ray starts from an open endpoint, while the second ray starts from a closed endpoint.

Choose the correct piecewise function.

(1 point)
Responses

y={−2, x>03, x>0
y equals left brace line 1 negative 2 comma x greater than 0 line 2 3 comma x less than 0

y={−2, x>23, x≤3
y equals left brace line 1 negative 2 comma x less than 2 line 2 3 comma x less than or equal to 3

y={−2, x<03, x≥0
y equals left brace line 1 negative 2 comma x less than zero line 2 3 comma x less than or equal to zero

y={−2x3x
y equals left brace line 1 negative 2 time x line 2 3 times x
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please answer with what I have provided you with

1 answer

Based on the description of the rays and the provided options, the correct piecewise function seems to be:

y = { -2, x < 0 3, x ≥ 0

This corresponds to the rays starting from an open endpoint for the first ray (at y = -2 for x < 0) and a closed endpoint for the second ray (at y = 3 for x ≥ 0).

However, please double-check the specific conditions regarding the endpoints for absolute confirmation, especially which rays are open or closed at their endpoints.

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