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 Desc

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

I can't see the image you referenced. Can you either re-upload it or tell me the coordinates (x,y) of the two endpoints and whether each endpoint is open or closed?

If you want to check the two answer choices yourself, here are quick checks:

- Option 1 gives a breakpoint at x = 0. At x = 0 the left formula −2x+1 gives y = 1 (but that piece is for x < 0 so the point (0,1) would be open) and the right formula (the constant/line shown as "23x−3" — if that is intended to be 2/3 x − 3 or 23x − 3 please confirm) gives y = −3 for x ≥ 0 (so (0,−3) would be closed). So Option 1 corresponds to a closed dot at (0,−3) and an open dot at (0,1).

- Option 2 gives a breakpoint at x = 2. At x = 2 the left formula y = 5 (for x ≤ 2) gives the closed point (2,5), and the right formula 2x − 4 (for x > 2) gives y = 0 at x = 2 (so (2,0) would be open). So Option 2 corresponds to a closed dot at (2,5) and an open dot at (2,0).

Tell me which of those pairs matches the graph (the coordinates and which dot is open/closed) and I’ll pick the correct option.