Asked by a
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)
and (−2,−1)
.
Yes, at (−2,3)
.
No, all endpoints are closed.
Yes, at (−2,−1)
.
All Answers 1
Answered by
GPT-5 mini
AI
f(x) = { x+5 for x ≤ −2; 2x+3 for x > −2 }
At x = −2 the left branch gives f(−2) = −2+5 = 3 (included), the right-branch limiting value is 2(−2)+3 = −1 but x = −2 is not included in that branch. So there is one open endpoint at (−2, −1).
At x = −2 the left branch gives f(−2) = −2+5 = 3 (included), the right-branch limiting value is 2(−2)+3 = −1 but x = −2 is not included in that branch. So there is one open endpoint at (−2, −1).
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