Question

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Equations of Piecewise Functions Quick Check
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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.
▶Click for Long Desc

Choose the correct piecewise function.

(1 point)

y={−2, x>03, x>0


y={−2x3x


y={−2, x>23, x≤3


y={−2, x<03, x≥0

Answer 1

y = { -2 for x < 0
3 for x ≥ 0 }

Reason: The left ray has an open endpoint at x = 0 (so y = -2 when x < 0), and the right ray has a closed endpoint at x = 0 (so y = 3 when x ≥ 0).