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# 5) Use the properties of continuity to prove whether or not h(x) is continuous at x = 3.

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5) Use the properties of continuity to prove whether or not h(x) is continuous at x = 3. If h(x) is not continuous at x = 3, then state the type of discontinuity.

h(x) =  {3x2 - 3  if < 3

{7x + 3   if x ≥ 3

Mar 19, 2020

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Hey, GM!!!!!.....good to see you  !!!

Let  x   = 3

Then  3(3)^2 - 3  =   3 *9 - 3   =  27 -3  =    24

And     7(3) + 3  =  21 + 3  =    24

Note  that  the  output  is the same....so.....this piece-wise  function is  continuous at x   = 3

Mar 19, 2020
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Hi CPhill! It is good to see you too! Things have been complicated the last few weeks because of the virus that you may know and people are in quarantine to avoid contact but that won't stop me from learning. Can you also answer this question here, please? Thanks!

GAMEMASTERX40  Mar 19, 2020
edited by GAMEMASTERX40  Mar 19, 2020
edited by GAMEMASTERX40  Mar 19, 2020
edited by GAMEMASTERX40  Mar 20, 2020