Question

The first ray starts from an open endpoint located on the y-axis at left parenthesis 0 comma negative 2 right parenthesis. The first ray extends horizontally leftward in parallel with the x-axis. The second ray starts from a closed endpoint that is also located on the y-axis at left parenthesis 0 comma 3 right parenthesis. The second ray extends horizontally rightward in parallel with the x-axis.


Choose the correct piecewise function.

(1 point)
Responses

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

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<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

Answer 1

y = { -2 for x < 0
3 for x ≥ 0 }

Reason: the ray at (0, −2) is open and extends left (so y = −2 for x < 0); the ray at (0, 3) is closed and extends right (so y = 3 for x ≥ 0).