Question

Use the image to answer the question.

A coordinate plane's axes range from negative 5 to 5 by 1-unit increments. Two rays are plotted. The first ray starts from a closed endpoint, while the second ray starts from an open endpoint.
▶Click for Long DescA coordinate plane's axes range from negative 5 to 5 by 1-unit increments. Two rays are plotted. The first ray starts from a closed endpoint, while the second ray starts from an open endpoint.

What is the piecewise function for the graph?

Option #1:

f(x)={−2x+1, x<023x−3, x≥0

Option #2:

f(x)={5, x≤22x−4, x>2

(1 point)
Option #

Answer 1

Option #2.

Reason: Option #2 gives the first ray with a closed endpoint (x ≤ 2) and the second ray with an open endpoint (x > 2), matching the graph's endpoint types.