Question

Graph the piecewise function f(x)={x+5 if x≤−22x+3 if x>−2
. Will the graph have any open endpoints? If yes, where?(1 point)

Yes, at (−2,3)
.

Yes, at (−2,3)
and (−2,−1)
.

No, all endpoints are closed.

Yes, at (−2,−1)
.

Answer 1

Yes — at (-2, −1).

Reason: For x ≤ −2, f(−2) = (−2)+5 = 3 so the left piece gives a closed point at (−2, 3). For x > −2, the right piece gives f(−2) = 2(−2)+3 = −1 but x = −2 is excluded, so (−2, −1) is an open endpoint.