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)

1Yes, at (−2,3)
and (−2,−1)
.

2Yes, at (−2,3)
.

3No, all endpoints are closed.

4Yes, at (−2,−1)
.

Answer 1

Correct choice: 4.

Reason: y = x + 5 for x ≤ −2 gives the closed point (−2, 3). y = 2x + 3 for x > −2 would equal −1 at x = −2 but x = −2 is excluded, so that point is open: (−2, −1). Thus the only open endpoint is (−2, −1).