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 x < 3
{7x + 3 if x ≥ 3
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
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!