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OpenStudy (anonymous):
OpenStudy (allank):
Do u understand the concept of continuity?
OpenStudy (anonymous):
Not completely @ allank
OpenStudy (allank):
Okay. Lemme walk u through it..
OpenStudy (anonymous):
@allank
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OpenStudy (allank):
If we have the graph of a function, it is continuous if it is differentiable at all points i.e. it has no breaks, sharp corners, etc.
OpenStudy (anonymous):
if lim of f(x) as x approaches a from the left = the limit as x approaches a from the right, the limit exists.
if the limit exists at a, then the function is continuous at a.
[square brackets] mean that the number is included in the interval
(round brackets) mean that the point is not included in the interval.
OpenStudy (anonymous):
[-4,2),(-2,2),[2,4),(4,6),(6,8)
OpenStudy (allank):
Carry on @Euler271
OpenStudy (anonymous):
@allank so when u say sharp corners do you also mean by turning points where it slowly rises and then falls
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OpenStudy (allank):
No, the function is differentiable there. |dw:1369549739726:dw|